Thursday, 1/15	Intro to the course, motivating problems, review of differentiation rules, antiderivatives (4.9)
Tuesday, 1/20	Antiderivatives (4.9), Areas and Distances (5.1), some of The Definite Integral (5.2) if time. Read: Section 5.1
Thursday, 1/22	The Definite Integral (5.2), Evaluating Definite Integrals (5.3) HW 1 due: Section 4.9 #1, 3, 6, 9, 12, 20, 25, 28, 40, 45. Section 5.1 #2, 3, 11, 16 Read: Section 5.2, first two pages of 5.3.
Tuesday, 1/27	Evaluating Definite Integrals (5.3), The Fundamental Theorem of Calculus (5.4) Read: Section 5.3, 5.4 (don't worry about the proof on p.382)
Thursday, 1/29	The Substitution Rule (5.5) HW 2 due: Section 5.2 #1, 2, 8, 9, 31, 32, 36, 37, 42, 43. Section 5.3 #2, 5, 6, 7, 8, 15, 16, 17, 23, 27, 28, 63 (Hint on #28: sketch a graph of the integrand. How does the absolute value affect it? Then break the integral into two pieces and evaluate each piece). Section 5.4, #5, 6, 7, 10, 19
Tuesday, 2/3	Integration by Parts (5.6) Read: Section 5.6
Thursday, 2/5	More Techniques of Integration (5.7) HW 3 due: Section 5.4 #4, 8. Section 5.5 #3, 4, 6, 8, 11, 14, 18, 21, 30, 40, 41, 45, 46, 49, 62. Section 5.6 #2, 4, 5, 9, 12, 13, 16, 17
Tuesday, 2/10	More Techniques of Integration (5.7), Integration Using Tables (5.8)
Thursday, 2/12	Approximate Integration (5.9), Improper Integrals (5.10) HW 4 due: Section 5.6 #10, 15, 16, 18, 28. Section 5.7 #3, 10, 11, 14 (Hint: change the limits of integration with each substitution, so you don't have to go back to x at the end), 17, 18, 19, 20, 21. Section 5.8 #5 (the formula to use is in the 21-29 section on the formula page), #15 (the formula to use is one of the ones between 16 and 20).
Tuesday, 2/17	Improper Integrals (5.10), More About Areas (6.1)
Thursday, 2/19	Exam 1 (in class)
Tuesday, 2/24	More About Areas (6.1), Volumes (6.2)
Thursday, 2/26	Volumes (6.2), Average Value of a function (6.4) HW 5 due: Section 5.9 #1abc, 5, 7, 10, 13 Section 5.10 #3, 5, 6, 8, 15, 23, 24, 29, 53ac. Section 6.1 #1, 4, 6, 7, 10, 11, 12, 16 (Note: For problems #7 - 16, you do NOT have to sketch a sample approximating rectangle and label its height and width. Just sketch the region and the curves and then calculate the area). Section 6.2 #1, 2 (for these problems you do NOT need to sketch the solid.
Tuesday, 3/3	Spring Break
Thursday, 3/5	Spring Break
Tuesday, 3/10	Probabliity (6.7)
Thursday, 3/12	HW 6 due: Section 6.2 #3, 5, 6, 8, 13 (Hint: choose horizontal slices), 14. Section 6.4 2, 3, 5ac, 6ac, 11, 13. Section 6.6 #1, 2, 3, 4, 6, 7, 8
Tuesday, 3/17	Probability (6.7), Modeling with Differential Equations (7.1)
Thursday, 3/19	Exam 2 (in class)
Tuesday, 3/24	Modeling with Differential Equations (7.1), Direction Fields (7.2)
Thursday, 3/26	Direction Fields and Euler's Method (7.2), Separable Differential Equations (7.3) HW 7 due: Section 6.7 #1, 2, 3 (note the function is only non-zero for x between 0 and 4), 4 (note the function is only non-zero for x between 0 and 1), 5, 6 (for part c, find the equation of the two lines and then use the formula for calculating the mean, breaking the integral into two pieces.), 8a, 9. Section 7.1 #1, 2, 3a, 4a, 5, 6a,c, 7
Tuesday, 3/31	Separable Differential Equations (7.3), Exponential Growth and Decay (7.4)
Thursday, 4/2	Exponential Growth and Decay (7.4), The Logistic Equation (7.5) HW 8 due: Section 7.1 #9. Section 7.2 #2-6, 21, 22. Section 7.3 #2,3,4,10,11,15, 16. Section 7.4 #3,4,8,9,13.
Tuesday, 4/7	Sequences (8.1) HW 9 due: Section 7.4, #18a, 19, 20 (For problem #20, part b), the "equivalent annual interest rate" is the rate r such that if you compound the initial amount annually for t years at the rate r, you would get the same amount as if you compounded continuously for t years at 6%. Your job is to find r.) Section 7.5 #3, 8 (for #8 you must solve the associated differential equation (separate and integrate, using partial fractions) rather than using the formulas on p. 539. For #3 you may use the formulas).
Thursday, 4/9	Easter break
Tuesday, 4/14	Sequences (8.1), Series (8.2)
Thursday, 4/16	Exam 3 (in class)
Tuesday, 4/21	Series (8.2)
Thursday, 4/23	The Integral Test (8.3) HW 10 due: Section 8.1 #3, 4, 5, 6, 7, 9, 10,14,15,16, 25, 35. Section 8.2, #3, 6, 8, 9,11,12,13, 15, 16, 19, 20, 21
Tuesday, 4/28	The Integral Test (8.3) Writing Assignment due
Monday, 5/4	Final Exam, 8:30-11:30 am