MATH 1030
Elementary Functions
- SPRING 2025 SYLLABUS
- Click HERE to read advice that former MATH 1030 students have for you! (I strongly recommend reading these suggestions.)
- 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.
- 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
- 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: Wednesday February 5, 2025 from 5:30pm to 7:00pm
- EXAM 2: Wednesday March 5, 2025 from 5:30pm to 7:00pm
- EXAM 3: Wednesday April 16, 2025 from 5:30pm to 7:00pm
- FINAL EXAM: Monday April 28, 2025 from 11:30am to 2:00pm
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
*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)