The following problems from your textbook (Calculus, Early Transcendentals 9E by James Stewart) will be discussed in your discussion sessions. Solutions are provided in your book; please do not refer to them before attempting the problems. Enjoy learning! L.V.A
Week 1: Main goal. Techniques of integration: Substitution Rule, Integration by Parts, Trigonometric Integrals.
Section 5.5: 3, 15, 17, 21, 25, 71.
Section 7.1: 3, 11, 17, 19.
Section 7.2: 1,7, 27, 65.
Week 2: Techniques of integration: Trigonometric substitution and integration of rational functions.
Section 7.2: 41 (integral of csc), 69 (Volumes using trig functions)
Section 7.3: 1, 3, 5, 15.
Section 7.4: 1, 9, 19, 23
Week 3: Review of integrals. Improper integrals.
Section 7.5: 3, 7, 35, 39, 67.
Week 4: Improper integrals.
Section 7.8: 1, 7, 15, 17. Monday.
Section 7.8: 27, 39, Quiz 1. Wednesday
Week 5: Review of Improper Integrals. Differential equations. Direction Field.
Section 7.8: 31, 21, 47.
Section 9.1: 9, 13, 19
Section 9.2: 9
Week 6: Euler Method. Separable equations
Section 9.2: 21, 23
Section 9.3: 1, 3, 7, 11, 13, 15.
Week 7: Separable equations. Logistic equation. Linear equations.
Section 9.3: 45, 47.
Section 9.4: 3, 5.
Section 9.5: 1, 3, 5, 13, 15, 19
Week 8: Sequences and Series
Section 11.1: 21, 37, 45, 47
Section 11.2: 23, 25, 41, 45
Week 9: Review of Geometric series and telescoping sums. Integral test. Comparison test. Quiz 2.
Section: 11.2: 39, 49.
Section 11.3: 2, 3, 11, 25, 29
Section 11:4: 1, 3, 5, 7, 17