MATH 1030
Elementary Functions
- Summer 2025 Syllabus
- Click HERE to read advice that former MATH 1030 students have for you! (I strongly recommend reading these suggestions.)
- The topics covered in MATH 1030 can be found by clicking HERE. Mastery of these topics will be assessed via three major exams, one cumulative final exam, frequent quizzes, and many homework assignments.
- COURSE COORDINATOR: David G. Costanzo (dgcosta@clemson.edu)
If you click on the date, then you will be able to download the blank slides that I use in class. The annotated slides from class can be downloaded by clicking the handwritten notes corresponding to your section. I am also including a short description of the day's topic(s). By the way, there are almost always "extra" slides that I did not cover in class. I usually copy-and-paste them in the next day's lesson. So, if you happen to be absent (which you should not be), you can refer to the handwritten notes to see where I stopped.
- June 30, 2025
- Syllabus
- Intro to operations on polynomials
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 1, 2025
- operations on polynomials continued
- factoring polynomials
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 2, 2025
- July 3, 2025
- There are precisely four "high-stakes" assessments in MATH 1030; specifically, there are three 90-minute unit exams and one cumulative 150-minute final exam. These assessments are no joke and constitute the majority of your final grade. The final exam is mandatory; there are no exemptions. On the bright side, your final exam will replace your lowest exam score.
- Here are the dates for these assessments. Please mark your calenders.
- EXAM 1:
- EXAM 2:
- EXAM 3:
- FINAL EXAM:
Below are some archived versions of MATH 1030. You are encouraged to explore them. I occasionally make some changes here and there based on student feedback. So, please be aware that your class might not be a replay of a previous semester.
__________________________________________________________________________
ARCHIVED VERSIONS OF MATH 1030
*Spring 2025*
- January 8, 2025
- syllabus
- intro to polynomials (adding, subtracting, & multiplying)
- handwritten notes from class
- January 10, 2025 (Class cancelled due to weather)
- January 13, 2025
- operations on polynomials continued
- intro to factoring
- handwritten notes from class
- January 15, 2025
- factoring continued (factoring trinomials, factoring by grouping)
- intro to polynomial long division
- QUIZ 1
- handwritten notes from class
- January 17, 2025
- polynomial long division (continued)
- handwritten notes from class (technology in classroom didn't work, used blackboard)
- January 20, 2025 (No class, university closed)
- January 22, 2025
- intro to exponents
- QUIZ 2
- handwritten notes from class
- January 24, 2025
- exponents (continued)
- intro to radicals
- handwritten notes from class
- January 27, 2025
- the radical conjugate trick
- intro to rational expressions
- handwritten notes from class
- January 29, 2025
- rational expressions (continued)
- complex fractions
- handwritten notes from class
- January 31, 2025
- intro to functions
- handwritten notes from class
- February 3, 2025
- functions (continued)
- difference quotients
- average rate of change
- handwritten notes from class
- February 5, 2025 (no new slides)
- review day
- EXAM 1 at 5:30pm in Brackett 100
- February 7, 2025 (No class, Friday after an exam)
- February 10, 2025
- intro to function composition
- handwritten notes from class
- February 12, 2025
- decomposing functions
- intro to linear functions
- handwritten notes from class
- February 14, 2025
- parallel and perpendicular lines
- quick overview of piecewise defined functions
- QUIZ 3
- handwritten notes from class
- February 17, 2025
- intro to polynomial functions
- zeros of polynomials
- intro to polynomial inequalities
- handwritten notes from class
- February 19, 2025
- polynomial inequalities
- intro to rational inequalities
- handwritten notes from class
- February 21, 2025
- rational inequalities continued
- QUIZ 4
- handwritten notes from class
- February 24, 2025
- intro to rational functions
- handwritten notes from class
- February 26, 2025
- vertical, horizontal, and slant asymptotes
- handwritten notes from class
- February 28, 2025
- asymptotes (continued)
- one-to-one functions & inverse functions
- handwritten notes from class
- March 3, 2025
- inverse functions (continued)
- handwritten notes from class
- March 5, 2025 (no new slides)
- review day
- EXAM 2 at 5:30pm in Brackett 100
- March 7, 2025
- intro to exponential functions
- intro to logs
- handwritten notes from class
- March 10, 2025
- logs (continued)
- properties of logarithms
- handwritten notes from class
- March 12, 2025
- exponential equations
- handwritten notes from class
- March 14, 2025 (No class, "Give-back day" moved to this day)
- March 24, 2025
- exponential equations (continued)
- intro to trig
- handwritten notes from class
- March 26, 2025
- intro to trig (continued)
- the circular definition of the six trig functions
- handwritten notes from class
- March 28, 2025
- The Pythagorean Identities
- QUIZ 5
- handwritten notes from class
- March 31, 2025
- Pythagorean Identities (continued)
- Trig expressions
- Right triangle trig
- handwritten notes from class
- April 2, 2025
- more right triangle trig
- handwritten notes from class
- April 4, 2025
- right triangle trig (continued)
- intro to trig equations
- QUIZ 6
- handwritten notes from class
- April 7, 2025
- intro to trig equations
- handwritten notes from class
- April 9, 2025
- trig equations
- handwritten notes from class
- April 11, 2025
- the inverse trig functions
- QUIZ 7
- handwritten notes from class
- April 14, 2025
- the inverse trig functions (continued)
- handwritten notes from class
- April 16, 2025 (no new slides)
- review day
- EXAM 3 at 5:30pm in Brackett 100
- April 18, 2025 (No class, Friday after an exam)
- April 21, 2025 (no new slides)
- Exam 3 autopsy
- start of final exam review
- April 23, 2025 (no new slides)
- Review day for final
- April 25, 2025 (no new slides)
- Review day for final
*Fall 2024*
- August 21, 2024
- Syllabus
- Introduction to polynomials
- Problem Set 0
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- August 23, 2024
- factoring polynomials
- greatest common factor
- difference of two squares
- sum & difference of cubes
- Problem Set 1
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- factoring polynomials
- August 26, 2024
- factoring (continued)
- factoring trinomials
- grouping
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- factoring (continued)
- August 28, 2024
- Introduction to exponents
- QUIZ #1
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- August 30, 2024
- exponents continued
- Problem Set 2
- intro to radicals
- Problem Set 3
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- September 2, 2024 (Labor Day, No class)
- September 4, 2024
- rationalization techniques (continued)
- intro to rational expressions
- Problem Set 4
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- September 6, 2024
- operations on rational expressions (continued)
- complex fractions
- QUIZ #2
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- September 9, 2024
- complex fractions continued
- Problem Set 5
- introduction to functions
- domains of functions
- Problem Set 6
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- September 11, 2024
- the domain of a function (continued)
- difference quotients
- Problem Set 7
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- September 13, 2024
- difference quotients (continued)
- average rate of change
- composition of functions
- Problem Set 8
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- September 16, 2024
- composition of functions (continued)
- decomposition of functions
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- September 18, 2024
- review day during class (no new slides)
- Exam 1 at night
- September 20, 2024 (No class, Friday after an exam)
- September 23, 2024
- linear functions
- Problem Set 9
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- September 25, 2024
- piecewise-defined functions
- polynomial functions
- Problem Set 10
- Problem Set 11
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- September 27, 2024 (University closed due to weather)
- September 30, 2024 (University closed due to weather)
- October 2, 2024
- zeros of polynomials (continued)
- formal derivatives
- QUIZ #3
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- October 4, 2024
- polynomial long division
- Problem Set 12
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- October 7, 2024
- polynomial long division (continued)
- Intro to rational functions
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- October 9, 2024
- rational functions continued
- Problem Set 13
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- October 11, 2024
- slant asymptotes
- intro to polynomial inequalites
- Problem Set 14
- QUIZ #4
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- October 14, 2024 (No class, Fall Break)
- October 16, 2024
- polynomial inequalities (continued)
- rational inequalites
- Problem Set 15
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- October 18, 2024
- rational inequalities (continued)
- one-to-one functions
- inverse functions
- Problem Set 16
- QUIZ #5
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- October 21, 2024
- inverse functions (continued)
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- October 23, 2024
- review day during class (no new slides)
- Exam 2 at night
- October 25, 2024 (No class, Friday after an exam)
- October 28, 2024
- Intro to exponential functions
- Problem Set 17
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- October 30, 2024
- Intro to logarithms
- Problem Set 18
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- November 1, 2024
- properties of logarithms
- Problem Set 19
- QUIZ #6
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- November 4, 2024
- exponential equations
- intro to trig
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- November 6, 2024
- Introduction to trig (continued)
- Problem Set 20
- QUIZ #7
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- November 8, 2024
- The trig functions as circular functions
- Problem Set 21
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- November 11, 2024
- Pythagorean identity continued
- problems involving the Pythagorean identities
- intro to right triangle trig
- Problem Set 22
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- November 13, 2024
- right triangle trig continued
- Problem Set 23 and 24
- intro to trig equations
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- November 15, 2024
- trig equations continued
- Problem Set 25
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- November 18, 2024
- Trig equations (continued)
- Review for Exam 3
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- November 20, 2024
- review day during class (no new slides)
- Exam 3 at night
- November 22, 2024 (No class, Friday after an exam)
- November 25, 2024
- intro to the the inverse trig functions
- Problem Set 26
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- November 27, 2024 (No class, Thanksgiving)
- November 29, 2024 (No class, Thanksgiving)
- December 2, 2024
- inverse trig (continued)
- Handwritten notes from Section 001
- Handwritten notes from Section 005
- December 4, 2024
- December 6, 2024
- review day during class (no new slides)
*Summer 2024*
- June 27, 2024
- Syllabus
- Introduction to polynomials and the basic operations on polynomials
- Problem Set 0
- handwritten notes from Section 201
- handwritten notes from Section 202
- June 28, 2024
- Factoring polynomials
- greatest common factor
- difference of two squares
- sum and difference of cubes
- grouping
- Problem Set 1
- handwritten notes from Section 201
- handwritten notes from Section 202
- Factoring polynomials
- July 1, 2024
- Exponents
- Radicals
- Quiz 1
- Problem Set 2
- Problem Set 3
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 2, 2024
- Exponents (continued)
- Rational expression
- Intro. to complex fractions
- Problem Set 4
- Problem Set 5 (outside reading)
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 3, 2024
- Complex fractions (continued)
- Introduction to functions
- Determining domains of functions
- Problem Set 6
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 4, 2024
- No class
- July 5, 2024
- The difference quotient of a function
- The average rate of chage of a function
- Composition of functions
- Problem Set 7
- Problem Set 8
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 8, 2024
- domains of composite functions
- function "decomposition"
- super quick tour of linear functions (slope, slope-intercept form, etc.)
- Problem Set 9
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 9, 2024
- EXAM 1
- July 10, 2024
- piecewise defined functions
- polynomial functions
- zeros of polynomial functions
- "formal" derivatives of polynomial functions
- Problem Set 10
- Problem Set 11
- The problem set concerning derivatives on the slides
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 11, 2024
- Polynomial long division
- intro to rational functions
- Problem Set 12
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 12, 2024
- some notation
- vertical asymptotes
- horizontal asymptotes
- slant asymptotes
- Problem Set 13
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 15, 2024
- polynomial inequalities
- rational inequalities
- Problem Set 14
- Problem Set 15
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 16, 2024
- polynomial and rational inequalites (continued)
- one-to-one functions
- inverse functions
- Problem Set 16
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 17, 2024
- inverse functions (continued)
- introduction to exponential functions
- introduction to logarithms
- Problem Set 17
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 18, 2024
- logarithms (continued)
- Intro to the basic properties of logarithms
- Problem Set 18
- Problem Set 19
- Exam 2 practice sheet
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 19, 2024
- EXAM 2
- July 22, 2024
- exponential equations
- intro to trig
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 23, 2024
- intro to trig (continued)
- Problem Set 20
- the six trig functions as circular functions
- Problem Set 21
- the Pythagorean Identities
- Problem Set 22
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 24, 2024
- right triangle trig
- reference angles (right triangle trig in other quadrants)
- Problem Set 23
- Problem Set 24
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 25, 2024
- right triangle trig (continued)
- trig equations
- Problem Set 25
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 26, 2024
- trig equations continued
- intro to the inverse trig functions
- Problem Set 26
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 29, 2024
- inverse trig functions continued
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 30, 2024
- EXAM 3
- July 31, 2024
- Review day for final exam
*Spring 2024*
- January 10, 2024
- notes from Section 001
- notes from Section 002
- Syllabus, intro. to polynomials, operations on polynomials, please stop doing "Freshman's Dream"
- Problem Set 0, Quiz 0 (paragraph on finding success!)
- January 12, 2024
- notes from Section 001
- notes from Section 002
- Intro. to factoring: GCF factoring, factoring patterns, factoring trinomials
- Problem Set 1
- January 15, 2024 (No class, university closure)
- January 17, 2024
- notes from Section 001
- notes from Section 002
- Intro. to exponents (definition, exponents "rules", etc.)
- Problem Set 2
- Quiz 1
- January 19, 2024
- notes from Section 001
- notes from Section 002
- Intro. to roots & radicals
- Problem Set 3
- January, 22, 2024
- notes from Section 001
- notes from Section 002
- Rational expressions
- Problem Set 4
- Quiz 2
- January 24, 2024
- notes from Section 001
- notes from Section 002
- Rational expressions continued
- Problem Set 4 continued
- extra examples for Quiz 3
- January 26, 2024
- notes from Section 001
- notes from Section 002
- brief into to functoins
- Outside reading: absolute value equations & Problem Set 5
- Problem Set 6
- Quiz 3
- January 29, 2024
- notes from Section 001
- notes from Section 002
- More intro to functions
- Determining domain
- Problem Set 6 (continued)
- January 31, 2024
- notes from Section 001
- notes from Section 002
- Difference quotient
- Average rate of change
- Problem Set 7
- February 2, 2024
- notes from Section 001
- notes from Section 002
- Intro. to function composition
- Problem Set 8
- Quiz 4
- February 5, 2024
- notes from Section 001
- notes from Section 002
- function composition continued
- "decomposing" functions
- Problem Set 8
- February 7, 2024
- Review day during class
- Exam 1 at 5:30pm -- 7:00pm
- February 9, 2024 (No class, Friday after exam)
- February 12, 2024
- notes from Section 001 (no handwritten notes, technology in class didn't work, so I wrote on the chalkboard, see Section 002)
- notes from Section 002
- intro to linear functions
- Problem Set 9
- February 14, 2024
- notes from Section 001
- notes from Section 002
- piecewise defined functions
- intro. to. polynomial functions
- Problem Set 10 and Problem Set 11
- February 16, 2024
- notes from Section 001
- notes from Section 002
- polynomial functions continued
- polynomial long division
- Problem Set 12
- Quiz 5
- February 19, 2024
- notes from Section 001
- notes from Section 002
- intro to rational functions
- Problem Set 13
- February 21, 2024
- notes from Section 001
- notes from Section 002
- rational functions (continued)
- Problem Set 13 (continued)
- February 23, 2024
- notes from Section 001
- notes from Section 002
- intro to Polynomial Inequalities
- Problem Set 14
- Quiz 6
- February 26, 2024
- notes from Section 001
- notes from Section 002
- intro to rational inequalities
- Problem Set 15
- February 28, 2024
- notes from Section 001
- notes from Section 002
- rational inequalities (continued)
- one-to-one functions
- inverse functions
- Problem Set 16
- March 1, 2024
- notes from Section 001
- notes from Section 002
- more about inverse functions
- Quiz 7
- March 4, 2024
- notes from Section 001
- notes from Section 002
- intro to exponentials
- March 6, 2024
- Review day during class
- Exam 2 at 5:30pm -- 7:00pm
- March 8, 2024 (No class, Friday after exam)
- March 11, 2024
- notes from Section 001
- notes from Section 002
- exponential functions
- Problem Set 17
- March 13, 2024
- notes from Section 001
- notes from Section 002
- intro. to logs
- Problem Set 18
- March 15, 2024
- notes from Section 001
- notes from Section 002
- properties of logarithms
- Problem Set 19
- March 18, 2024 (No class, Spring Break)
- March 20, 2024 (No class, Spring Break)
- March 22, 2024 (No class, Spring Break)
- March 25, 2024
- notes from Section 001
- notes from Section 002
- Review of logs and exponentials
- Problem Set 19 (continued)
- March 27, 2024
- notes from Section 001
- notes from Section 002
- Intro to trig
- Problem Set 20
- March 29, 2024
- notes from Section 001
- notes from Section 002
- The trig functions as "circular functions"
- Problem Set 21
- Quiz 8
- April 1, 2024
- notes from Section 001
- notes from Section 002
- The Pythagorean Identities
- Problem Set 22
- April 3, 2024
- notes from Section 001
- notes from Section 002
- basic trig triangle trig
- Problem Set 23
- April 5, 2024
- notes from Section 001
- notes from Section 002
- reference angles and reference trig angles
- into to trig equations
- Problem Set 24
- Quiz 9
- April 8, 2024
- notes from Section 001
- notes from Section 002
- trig equations
- April 10, 2024
- notes from Section 001
- notes from Section 002
- trig equations (continued)
- April 12, 2024
- notes from Section 001
- notes from Section 002
- inverse trig functions
- April 15, 2024
- notes from Section 001
- notes from Section 002
- inverse trig functions (continued)
- Quiz 10
- April 17, 2024
- Review day during class
- Exam 3 at 5:30pm -- 7:00pm
- April 19, 2024 (No class, Friday after exam)
- April 22, 2024
- notes from Section 001
- notes from Section 002
- intro to limits
- April 24, 2024
- notes from Section 001
- notes from Section 002
- limits (continued)
- April 26, 2024
- Review day for the final
*Fall 2023*
- August 23, 2023
- Syllabus & logistics
- Intro to Polynomials
- degree & coefficients
- adding/subtracting/multiplying/simplifying polynomials
- Problem Set 0 assigned
- sample copy of Problem Set 0 w/ solutions
- August 25, 2023
- Factoring polynomials: greatest common factor, diff. of two squares, sum/difference of cubes, trinomial factoring
- Problem Set 1 assigned
- sample copy of Problem Set 1 w/ solutions, handwritten notes from class
- Another factoring technique for dealing with quadratic polynomials
- August 28, 2023
- Exponents: basic rules, negative exponents, etc
- Problem Set 2 assigned
- sample copy of Problem Set 2 w/ solutions
- Quiz #1 [Costanzo's section]
- handwritten notes from class [001]
- handwritten notes from class [005]
- August 30, 2023
- Intro. to radicals: definition, basic properties, do's and don't, etc.
- fractional exponents
- Problem Set 3 assigned
- sample copy of Problem Set 3 w/ solutions
- handwritten notes from class [001]
- handwritten notes from class [005]
- September 1, 2023
- rational expressions, complex fractions
- heavy-duty algebra
- Problem Set 4 assigned
- sample copy of Problem Set 4 w/ solutions
- Quiz #2 [Costanzo's section]
- handwritten notes from class [001]
- handwritten notes from class [005]
- Outside reading: Absolute Value Equations (sample copy of Problem Set 5 w/ solutions)
- Note: by "outside reading" I mean that this topic should be read & studied outside of class; you don't necessarily need to be outdoors. Although studying math in the wilderness is fun, you are free to study in your dorm or in the library.
- September 4, 2023
- Labor Day, No class
- September 6, 2023
- More practice w/ rational expressions & complex fractions
- Intro to fuctions: definitions, domains, ranges, formulas, etc.,
- handwritten notes from class [001]
- handwritten notes from class [005]
- Problem Set 6 assigned,
- sample copy of Problem Set 6 w/ solutions,
- *Quiz 3 Practice Sheet*
- September 8, 2023
- More about computing domains & evaluating functions
- the difference quotient of a function
- the average rate of change of a functoin
- handwritten notes from class [001]
- handwritten notes from class [005]
- Problem Set 7 assigned
- sample copy of Problem Set 7 w/ solutions
- Quiz #3 [Costanzo's section]
- September 11, 2023
- More difference quotient
- intro to function composition
- handwritten notes from class [001]
- handwritten notes from class [005]
- Problem Set 8 assigned
- sample copy of Problem Set 8 w/ solutions
- September 13, 2023
- Decomposing functions
- handwritten notes from class [001]
- handwritten notes from class [005]
- Quiz #4 [Costanzo's section]
- September 15, 2023
- Intro to linear functions
- handwritten notes from class [001]
- handwritten notes from class [005]
- Problem Set 9 assigned
- sample copy of Problem Set 9 w/ solutions
- September 18, 2023
- More about linear functions
- a brief encounter w/ piecewise-defined functions
- handwritten notes from class [001]
- handwritten notes from class [005]
- Quiz #5 [Costanzo's section]
- September 20, 2023
- Review day in class
- Exam 1 at night
- September 22, 2023
- Give-back day,
- No class
- September 25, 2023
- Intro to polynomial functions: zeros of a poly. function
- multiplicity of a zero & geometric significance
- handwritten notes from class [001]
- Problem Set 11 assigned
- sample copy of Problem Set 11 w/ solutions
- September 27, 2023
- Polynomial long division
- handwritten notes from class [001]
- handwritten notes from class [005]
- Problem Set 12 assigned
- sample copy of Problem Set 12 w/ solutions
- September 29, 2023
- Intro. to rational functions
- handwritten notes from class [001]
- handwritten notes from class [005]
- Quiz #6 [Costanzo's section]
- October 2, 2023
- Vertical asymptotes
- horizontal asymptotes
- slant asymptotes
- Problem Set 13 assigned
- sample copy of Problem Set 13 w/ solutions
- October 4, 2023
- October 6, 2023
- Polynomial inequalities
- handwritten notes from class [001]
- handwritten notes from class [005]
- Problem Set 14 assigned
- sample copy of Problem Set 14 w/ solutions
- October 9, 2023
- Rational inequalities
- handwritten notes from class [001]
- handwritten notes from class [005]
- Problem Set 15 assigned
- sample copy of Problem Set 15 w/ solutions
- October 11, 2023
- Rational inequalities (continued)
- one-to-one functions, inverse functions
- handwritten notes from class [001]
- handwritten notes from class [005]
- Quiz #8 [Costanzo's section]
- October 13, 2023
- More on inverse functions
- handwriten notes from class [001]
- handwritten notes from class [005]
- Problem Set 16 assigned
- sample copy of Problem Set 16 w/ solutions
- October 16, 2023
- Fall Break
- No class
- October 18, 2023
- Exponential functions, e^x
- intro to logs
- handwritten notes from class [001]
- handwritten notes from class [005]
- Problem Set 17 assigned
- Problem Set 18
- sample copy of Problem Set 17 w/ solutions
- sample copy of Problem Set 18 w/ solutions
- October 20, 2023
- Intro to logs, properties of logs
- handwritten notes from class [001]
- handwritten notes from class [005]
- Quiz #9 [Costanzo's section]
- October 23, 2023
- Logs continued
- handwritten notes from class [001]
- handwritten notes from class [005]
- applications: exponential equations
- October 25, 2023
- Review day in class
- Exam 2 at night
- October 27, 2023
- Give-back day,
- No class
- October 30, 2023
- Intro to. trig, basic terminology
- blank slides for instructor use
- handwritten notes from class [001]
- handwritten notes from class [005]
- Problem Set 20 assigned
- sample copy of Problem Set 20 w/ solutions
- November 1, 2023
- The trig functions as circular functions
- blank slides for instructor use
- handwritten notes from class [001]
- handwritten notes from class [005]
- Problem Set 21 assigned
- sample copy of Problem Set 21 w/ solutions
- November 3, 2023
- blank slides for instructor use
- handwritten notes from class [001]
- handwritten notes from class [005]
- Quiz #10 [Costanzo's section])
- Problem Set 22 assigned
- sample copy of Problem Set 22 w/ solutions
- November 6, 2023
- blank slides for instrutor use
- More problems w/ the Pythagorean Identity
- A blend of algebra & trig
- The right triangle definition of the six trig functions & some applications
- handwritten notes from class [001]
- handwritten notes from class [005]
- Problem Set 23 assigned
- Problem Set 24 assigned
- sample copy of Problem Set 23 w/ solutions
- sample copy of Problem Set 24 w/ solutions
- November 8, 2023
- blank slides for instructor use
- right triangle trig in Quadrants other than Quadrant I
- handwritten notes from class [001]
- handwritten notes from class [005]
- November 10, 2023
- blank slides for instructor use
- Quiz #11 ([Costanzo's sections])
- Gentle into to trig equations
- handwritten notes from class [001]
- handwritten notes from class [005]
- November 13, 2023
- blank slides for instructor use
- Trig equations (all four flavors!!)
- handwritten notes from class [001]
- handwritten notes from class [005]
- Problem Set 25 assigned
- Sample copy of Problem Set 25 w/ solutions
- November 15, 2023
- blank slides for instructor use
- Construction of the inverse trig functions
- handwritten notes from class [001]
- handwritten notes from class [005]
- Developing some computational power with the inverse trig functions
- Problem Set 26
- November 17, 2023
- blank slides for instructor use
- handwritten notes from class [001]
- handwritten notes from class [005]
- Quiz #12 [Costanzo's section]
- November 20, 2023
- blank slides for instructor use
- various techniques for dealing with the inverse trig functions
- handwritten notes from class [001]
- handwritten notes from class [005]
- November 22, 2023
- Thanksgiving Break
- No class
- November 24, 2023
- Thanksgiving Break
- No class
- November 27, 2023
- blank slides for instructor use
- Sample problems to study for Exam 3
- handwritten notes from section [001]
- handwritten notes from section [005]
- November 29, 2023
- Review day during class
- Exam 3 at night
- December 1, 2023
- Give-back day
- No class
- December 4, 2023
- blank slides for instuctor use
- introduction to limits (big idea, direct substitution, algebraic techniques)
- Problem Set 27
- Problem Set 28
- December 6, 2023
- Review day
- December 8, 2023
- Review day
*Summer 2023*
- MATH 1030 is offered as a part of Clemson's Summer Start program. Here are my class notes from Summer 2023. If you'd like copies of problem sets, quizzes, and/or exams, please email me!
- June 28, 2023 (Introduction, operations on polynomials)
- June 29, 2023 (Factoring polynomials: difference of two squares, sum/difference of cubes, trinomials)
- June 30, 2023 (Exponents, Quiz #1)
- July 3, 2023 (Intro. to radicals, properties of radicals)
- July 5, 2023 (Operations on rational expressions, complex fractions, intro. to absolute value, Quiz #2)
- July 6, 2023 (Intro. to functions, determining the domain of a function)
- July 7, 2023 (Domains of functions continued, difference quotient, average rate of change, Quiz #3)
- July 10, 2023 (Difference quotient continued, Intro. to function composition, the domain of a composite function, decomposing functions)
- July 11, 2023 (Function composition continued, Intro to linear functions, slope-intercept form, parallel/perpendicular lines, piecewise function, Quiz #4)
- July 12, 2023 (Exam 1)
- July 13, 2023 (Zeros of polynomials, the Factor Theorem, polynomial long division)
- July 14, 2023 (More fun with polynomial long division, intro to rational functions, all about asymptotes)
- July 17, 2023 (Polynomial inequalities, rational inequalities, Quiz #5)
- July 18, 2023 (More rational inequalities, one-to-one functions, inverse functions)
- July 19, 2023 (More on inverse functions, intro to exponential functions, e^x, intro to logarithms, Quiz #6)
- July 20, 2023 (Properties of logarithms, inverse functions of log and exponential functions, expanding & contracting logs, exponential equations)
- July 21, 2023 (Inverses of exponential & logarithmic functions, prerequisites to trig: angles, coterminal angles, radians, Quiz #7)
- July 24, 2023 (Exam 2)
- July 25, 2023 (Reminders about radians, the trig functions as `circular functions', the Pythagorean Identities)
- July 26, 2023 (Basic right triangle trig: another approach to sine, cosine, tangent, secant, cosecant, cotangent, reference triangles, & reference angles, Quiz #8)
- July 27, 2023 (Trigonometric equations)
- July 28, 2023 (Varieties of trig equations: plain, twisted, mixed, & "hidden" polynomial trig equations, introduction to the inverse trig functions)
- July 31, 2023 (The inverse trig functions continued: computations & techniques)
- August 1, 2023 (Exam 3)
- August 2, 2023 (Review Day for the Final Exam)
*Spring 2023*
- You can click here to see MATH 1030 class notes from Spring 2023.
Course Coordinator: David G. Costanzo (dgcosta@clemson.edu)