MATH 1030
Elementary Functions
- Fall 2025 syllabus (Costanzo)
- General course information (non-instructor specific)
- 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 mandatory final exam, frequent quizzes, and many homework assignments.
- Course coordinator: David G. Costanzo (dgcosta@clemson.edu)
If you click on the dates below, then you will be able to download the blank slides that I (Costanzo) 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.
Since MATH 1030 is a coordinated course, the notes that your instructor uses might be a slight variation on what you see here.
- Wednesday August 20, 2025
- syllabus
- intro to polynomials
- handwritten notes from Section 003
- handwritten notes from Section 004
- Friday August 22, 2025
- operations on polynomials (continued)
- intro to factoring polynomials
- handwritten notes from Section 003
- handwritten notes from Section 004
- Monday August 25, 2025
- factoring (continued)
- polynomial long division
- handwritten notes from Section 003
- handwritten notes from Section 004
- Wednesday August 27, 2025
- polynomial long division (continued)
- Quiz 1 for Costanzo's sections (003, 004)
- handwritten notes from Section 003
- handwritten notes from Section 004
- Friday August 29, 2025
- polynomial inequalities
- handwritten notes from Section 003
- handwritten notes from Section 004
- Monday September 1, 2025 (no class, Labor day, university closed)
- Wednesday September 3, 2025
- polynomial inequalities (continued)
- rational expressions
- handwritten notes from Section 003
- handwritten notes from Section 004
- Friday September 5, 2025
- handwritten notes from Section 003
- handwritten notes from Section 004
- 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 constitute the majority of your final grade. The final exam is mandatory.
- Here are the dates for these assessments. Please mark your calenders.
- Exam 1: September 17, 2025, 7:30PM---9:00PM
- Exam 2: October 22, 2025, 7:30PM---9:00PM
- Exam 3: November 19, 2025, 7:30PM---9:00PM
- Final Exam: December 8, 2025, 11:30AM---2:00PM
Slides and handwritten notes from the most recent version of MATH 1030 (Summer 2025)
- 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
- quiz: basic operations on polynomials
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 2, 2025
- polynomial long division
- introduction to polynomial inequalities
- quiz: factoring
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 3, 2025
- polynomial inequalities
- rational expressions
- quiz: polynomial long division
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 7, 2025
- complex fractions
- rational inequalities
- quiz: polynomial inequalities, rational expressions
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 8, 2025
- rational inequalities (continued)
- exponents
- radicals
- the radical conjugate trick
- quiz: complex fractions, rational inequalities
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 9, 2025
- radical conjugates
- intro to functions
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 10, 2025 (no new slides---exam day)
- Exam 1
- July 11, 2025
- functions (continued)
- difference quotients
- average rate of change
- quiz: basics on functions
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 14, 2025
- difference quotients (continued)
- function composition
- quiz: difference quotients
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 15, 2025
- function composition (continued)
- function decomposition
- one-to-one functions
- inverse functions
- quiz: avg. rate of change, function composition
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 16, 2025
- inverse functions continued
- quick overview of linear functions
- quiz: domains of composites, basics on inverses
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 17, 2025
- intro to rational functions
- quiz: basics on linear functions
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 18, 2025 (no new slides---review day)
- review
- July 21, 2025 (no new slides---exam day)
- Exam 2
- July 22, 2025
- intro to exponentials
- intro to logarithms
- quiz: basics on exponentials
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 23, 2025
- basic properties of logarithms
- exponential equations
- quiz: basic on logaritms
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 24, 2025
- intro to trig
- quiz: logarithms & exponential equations
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 25, 2025
- the trig functions as circular functions
- right triangle trig
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 28, 2025
- simplifying trig expressions
- intro to trig equations
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 29, 2025
- trig equations
- inverse trig functions
- handwritten notes from Section 201
- handwritten notes from Section 202
- July 30, 2025
- review day for Exam 3
- July 31, 2025
- Exam 3
- August 1, 2025 (no new slides---review day)
- review day for final