LECTURES

This schedule is tentative and may be modified as the course progresses. Please read the relevant textbook sections before the lecture.

 DATE READING HOMEWORK Exercises (NOT to be handed in) Sept. 5th 1.1,1.2: Four ways to represent a function, A catalog of essential functions #1 Due 09/17 1.1: : 5, 6, 20, 28, 34, 38, 44, 45, 69 1.2:: 2, 4, 8, 11 1.3: 5, 10 1.1: 21, 24, 30, 64, 68 1.2: 1, 3, 9, 18 1.3: 17, 31-35, 41, 43 Sept. 10, 12 1.3, 1.5, 1.6: New functions from old functions, Exponential functions, Inverse functions and logarithms #2 Due 09/24 1.5: 20, 25 1.6: 22, 38, 67 2.2 4, 26 1.5:7-12, 14, 15, 16, 26 1.6:3-11, 17, 21-25 odd, 39, 47, 49, 59-61 2.1: 5,6 2.2: 3-9 odd, 13, 29, 40 Sept. 17, 19 2.1, 2.2, 2.3: The tangent and velocity problems, The limit of a function, Calculating limits using limit laws See next Week See Next Week Sept. 24, 26 2.5, 2.6, 2.7, 2.8: Continuity, Limits at infinity and horizontal asymptotes, Derivatives and rates of change, The derivative as a function #3 Due 10/01 2.3: 4, 18 2.5: 12, 41, 47 2.6: 20 2.7: 8, 28 2.8: 9 3.1: 11 2.3: 2, 3-25 odd, 37, 46, 49, 52 2.5: 3, 11, 13, 14, 17, 21-27 odd, 35 2.6: 3, 17-35 odd, 49 2.7: 3, 5, 7, 13, 25-29 odd 2.8 3, 5, 19, 23, 25, 35 Oct. 1, 3 3.1, 3.2, 3.3 : Derivatives of polynomials and exponential functions, The product and quotient rules, Derivatives of trigonometic functions No Homework this week 3.1: 7-33 odd 47, 49 Oct. 8 MIDTERM 1 Oct. 10 3.4: The chain rule #4 Due 10/15 3.2: 4, 32, 41, 44 3.3: 4, 18, 29, 35 3.2: 3-11 odd, 25-29 odd, 43 3.3: 1-15 odd, 19, 33 Oct. 15, 17 3.5, 3.6, 3.9: Implicit differentiation, Derivatives of logarithmic functions, Related rates #5 Due 10/21 3.4: 24, 32, 75, 82 3.5: 10, 23, 46, 52 3.4: 1-5 odd, 9, 23-35 odd, 41 3.5: 9-17 odd, 27, 33-35 odd, 45-51 odd Oct. 22, 24 3.10, 4.1, 4.2: Linear approximations and differentials, Maximum and minimum values, The Mean Value Theorem #6 Due 10/29 3.6 : 12, 40, 42 3.9: 5, 16 4.1: 24, 28, 59 3.6: 7-15 odd, 37-47 odd 3.9: 6, 15, 27 4.1: 3-5 odd, 21, 33, 39, 43, 49, 53, 57, 61 Oct. 29, 31 4.4, 4,3, 4.5: Indeterminate forms and l'Hospital's rule, How derivatives affect the shape of a graph, Summary of curve sketching #7 Due Wednesday 11/7 4.2:3, 12 4.3: 10, 21, 36, 45 4.4: 12, 43, 52 4.2: 5, 13,17 4.3: 11-15 odd, 35, 39, 43 4.4: 5, 11, 15, 19, 21, 31, 39, 51 Nov. 7 4.7, 4.8: Optimization problems, Newton's method NONE NONE Nov. 12 MIDTERM 2 Nov. 14 4.7: Optimization problems See Next Week None Nov. 19, 21 4.8, 4.9, 5.1, 5.2: Newton's Method, Antiderivatives, Areas and distances, The definite integral #8 Due 11/26 4.7: 12, 46, 54 4.8: 8, 12 4.9: 12, 39, 51(Hint: see example 5), 58 4.7: 3,9, 17, 19, 23, 35 4.8: 5, 7, 11 4.9: 3, 11, 15, 25, 33, 41, 57, 61 Nov. 26, 28 5.3 , 5.4, 5.5: Indefinite integrals and the Net Change Theorem, The substitution Rule #9 Due 12/3 5.1: 2, 17, 22 5.2: 18, 24, 30 (Hint: pg 369), 38 5.3: 14 (Hint: Ex. 4), 29 5.4: 13,23,37 5.1: 1, 27, 19 5.2: 17-25 odd, 33, 35 5.3: 7, 9, 13, 19, 23, 33, 43 5.4: 1, 3, 7, 11, 21, 27, 33 Dec. 3, 5 6.1, ? : Areas between curves #10 Due 12/10 5.5: 24, 60,67, 80 5.5: 7-13 odd, 19-29 odd, 41, 59, 69 6.1: 5-11 odd, 17, 23 6.2: 1-9 odd Dec. 10th Review Session