# Calculus I

 Item Date Information 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. 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 Final Exam Fri, Aug 7