Calculus I
The course textbook is "Essential Calculus" (2nd edition) by James Stewart. I also recommend the short book "The Hitchhiker's Guide to Calculus" by Michael Spivak. Keep it beside your bed and read it before you go to sleep. I will have office hours Tuesdays and Thursdays from 1-2pm in Memorial 216. | ||
Item | Date | Information |
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Homework 1 Solutions |
Mon, July 6 |
Course Notes Historical Introduction Functions and Limits |
Quiz 1 |
Mon, July 6 |
Practice Problems: Chap 1.4 Ex 2, 8, 9, 10, 14, 16, 18, 21, 22, 23, 24, 45 Chap 1.6 Ex 20, 24, 25, 27, 31 Chap 1 Review Exercise 19(a) (pg. 72) |
Homework 2 Solutions |
Fri, July 10 |
Course Notes Derivative as Velocity Derivative as Slope of the Tangent Tricks for Computing Derivatives The Product Rule |
Quiz 2 |
Mon, July 13 |
Practice Problems: Chap 2.1 Ex 3, 11, 31 Chap 2.2 Ex 3, 5 Chap 2.3 Ex 1, 3, 5, 7, 13, 21 Chap 2.4 Ex 1, 3, 4 Chap 2 Review Concept Check 1, 3 Chap 2 Review True-False 2, 3, 9, 11 |
Homework 3 Solutions |
Fri, July 17 |
Course Notes The Quotient and Chain Rules Optimization Problems Curve Sketching Linear Approximation |
Quiz 3 |
Mon, July 20 |
Practice Problems: Chap 2.5 Ex 1, 5, 11, 13, 19, 21, 23, 25, 27 Chap 2 Review Exercises 73, 74, 75 Chap 3.3 Ex 21, 23, 27 Chap 3.5 Ex 3, 5, 7 Chap 3 Review Exercises 27, 33 |
Homework 4 Solutions |
Fri, July 24 |
Course Notes Definition of the Integral Fundamental Theorem of Calculus Antiderivatives |
Quiz 4 |
Mon, July 27 |
Practice Problems: Chap 3.7 Ex 7, 13, 17, 19, 39 Chap 3 Review Exercises 41, 43 Chap 4.2 Ex 11, 15, 29, 39, 41, 45 Chap 4.3 Ex 3, 5, 11, 13, 15, 23, 33 |
Homework 5 Solutions |
Fri, July 31 |
Course Notes Logarithms and Exponentials Inverse Trigonometric Functions Integration by Substitution Integration by Parts |
Quiz 5 | Mon, Aug 3 |
Practice Problems: Chap 4.5 Ex 7, 21, 37, 39 Chap 5.2 Ex 19, 25, 61 Chap 5.3 Ex 29, 33 Chap 5.4 Ex 31, 35, 41 Chap 5.6 Ex 9, 19, 25, 43 Chap 6.1 Ex 5, 9, 19, 27 |
Epilogue |
Course Notes Why Calculus is Relevant to Your Life Review for the Exam |
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Final Exam | Fri, Aug 7 |