MATH 1030
Elementary Functions
Course Information and Policies
- SUMMER 2024 SYLLABUS
- The textbook coverage for the Second Summer Session for 2024 can be found HERE.
- My typical weekly schedule for Second Summer Session for 2024 can be found HERE.
- Our typical class structure can be found HERE.
- 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)
Daily Course Schedule
Here are the slides and notes from class. If you click on the date, then you'll be able to download the blank slides that I use in class. The annotated slides from class can be downloaded by clicking on notes from Section 20x where x=1 or x=2. I'm also including a short description of the day's topic, along with the corresponding problem set.
- June 27, 2024
- June 28, 2024
- July 1, 2024
- July 2, 2024
- July 3, 2024
- July 4, 2024
- July 5, 2024
- July 8, 2024
- July 9, 2024
- July 10, 2024
- July 11, 2024
- July 12, 2024
- July 15, 2024
- July 16, 2024
- July 17, 2024
- July 18, 2024
- July 19, 2024
- July 22, 2024
- July 23, 2024
- July 24, 2024
- July 25, 2024
- July 26, 2024
- July 29, 2024
- July 30, 2024
- July 31, 2024
Exam Information
- There are exactly 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.
- Here are the dates for these assessments. Please mark your calenders.
- EXAM 1:
- EXAM 2:
- EXAM 3:
- FINAL EXAM:
Additional Resources
__________________________________________________________________________
ARCHIVED VERSIONS OF MATH 1030
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 2 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
Part I: Developing Algebraic Power
- 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.
Part II: Introduction to Functions
- 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
Part III: Polynomial and Rational Functions
- 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
Part IV: Exponential and Logarithmic Functions
- 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
Part V: The Trigonometric Functions
- 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
Part VI: Limits/A Brief Encounter with Calculus
- 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)