MATH 1432 - Calculus II
***This is a course guideline. Students should contact instructor for the updated information on current course syllabus, textbooks, and course content*** Text: CALCULUS, 9th edition. Authors: Salas & Hille. Publisher: John Wiley & Sons, Inc. Text is in electronic form . All exams will be departmental exams given at CASA . Chapter 7. THE TRANSCENDENTAL FUNCTIONS Chapter 8. TECHNIQUES OF INTEGRATION EXAM 1 Chapter 9. POLAR COORDINATES; PARAMETRIC EQUATIONS Chapter 10. SEQUENCES; INDETERMINATE FORMS; IMPROPER INTEGRALS EXAM 2 Chapter 11. INFINITE SERIES EXAM 3 CHAPTER 7.Syllabus
Section 7.1. One-to-One Functions;Inverses
Section 7.2-3. The Logarithm Function
Section 7.4. The Exponential Function
Section 7.5. Arbitrary Powers; Other Bases; Estimating e
Section 7.6. Exponential Growth and Decay
Section 7.7. The Inverse Trigonometric Functions
Section 7.8. The Hyperbolic Sine and Cosine Functions Section 8.2. Integration by Parts
Section 8.3. Powers and Products of Trigonometric Functions
Section 8.4. Trigonometric Substitutions Section 8.5. Partial Fractions
Section 8.7. Numerical Integration Section 9.3. Polar Coordinates
Section 9.4. Graphing in Polar Coordinates
Section 9.5. Area in Polar Coordinates
Section 9.6. Curves Given Parametrically
Section 9.7. Tangents to Curves Given Parametrically
Section 9.8 Arc Length and Speed Section 10.1-2. The Least Upper Bound Axiom; Sequences of Real Numbers
Section 10.3-4. Limit of a Sequence; Some Important Limits Section 10.5. The Indeterminate Form (0/0)
Section 10.6. The Indeterminate Form (∞/∞); Other Indeterminate Forms
Section 10.7. Improper Integrals
Section 11.1. Infinite Series
Section 11.2. The Integral Test; Comparison Theorems
Section 11.3. The Root Test; The Ratio Test
Section 11.4. Absolute and Conditional Convergence; Alternating Series
Section 11.5. Taylor Polynomials in x; Taylor Series in x.
Section 11.6. Taylor Polynomials in x-a; Taylor Series in x-a.
Section 11.7. Power Series
Section 11.8. Differentiation and Integration of Power Series
Homework Assignments
Section 7.1: 1, 3, 5, 6, 10, 13, 16, 18, 21, 28, 31, 33, 34, 35, 36, 37, 39, 40, 44, 49, 50
Section 7.2: 1, 3, 8, 13, 15, 16, 17, 20, 21, 23
Section 7.3: 1, 3, 5, 8, 9, 12, 13, 14, 16, 17, 19, 24, 25, 26, 29, 31, 32, 34, 35, 38, 41, 43, 47, 49, 51, 57, 59, 60, 63, 71
Section 7.4: 3, 5, 7, 12, 13, 17, 18, 21, 24, 26, 27, 29, 31, 33, 34, 37, 40, 49, 51, 53, 55, 57, 59, 66
Section 7.5: 19, 21, 22, 26, 27, 30, 31, 32, 43, 48, 49, 59, 63, 65
Section 7.6: 2, 3, 5, 6, 10, 11, 13, 15, 16, 17, 21, 22, 29, 35, 36
Section 7.7: 3, 6, 9, 11, 13, 14, 19, 22, 23, 25, 31, 32, 36, 41, 42, 43, 45, 46, 51, 53, 57, 59, 62, 63, 65, 68, 69
Section 7.8: 1, 3, 4, 5, 12, 14, 15, 17, 27, 29, 30, 31, 33, 36, 38, 39, 43, 45, 47, 49
CHAPTER 8.
Section 8.1: 4, 5, 8, 9, 13, 17, 18, 23, 24, 25, 29, 30, 33, 35, 40, 44, 47, 50
Section 8.2: 1, 3, 4, 5, 9, 16, 19, 20, 23, 27, 29, 31, 33, 35, 38, 42, 43, 47, 51, 57, 59, 60, 69, 71
Section 8.3: 1, 2, 3, 5, 7, 10, 11, 14, 15, 17, 20, 24, 27, 28, 31, 35, 43, 44, 46, 48, 49, 57
Section 8.4: 3, 4, 5, 6, 8, 9, 12, 15, 16, 17, 18, 21, 24, 27, 31, 32, 35, 36, 41, 45, 48
Section 8.5: 9, 11, 12, 15, 18, 19, 21, 22, 27, 31, 32, 35, 36, 41, 47
Section 8.7: 1, 2, 5, 6, 13, 17, 19, 20, 23, 24, 25
CHAPTER 9.
Section 9.3: 1, 3, 5, 7, 9, 10, 12, 13, 21, 22, 23, 27, 28, 31, 35, 39, 40, 41, 42, 47, 50, 55, 57, 58
Section 9.4: 1, 3, 4, 8, 11, 14, 19, 22, 28, 31, 33, 34, 35, 37, 39, 42, 43, 45
Section 9.5: 1, 2, 5, 8, 9, 10, 13, 15, 17, 20, 21, 22, 23, 25, 27
Section 9.6: 1, 3, 5, 6, 8, 9, 10, 13, 16, 17, 18, 20, 22, 23, 25, 26, 27, 28, 29, 31, 43, 45, 47
Section 9.7: 3, 4, 6, 7, 9, 10, 15, 17, 20, 21, 22, 23, 25
Section 9.8: 1, 4, 5, 9, 10, 13, 16, 21, 23, 29, 33, 34, 35, 37
CHAPTER 10.
Section 10.1: 1, 2, 3, 5, 6, 10, 13, 14, 27, 28, 29, 33
Section 10.2: 1, 2, 3, 4, 5, 6, 9, 11, 13, 15, 20, 23, 24, 26, 27, 31, 36, 45, 46, 48, 51, 55, 61, 62
Section 10.3: 3, 4, 5, 6, 7, 8, 9, 12, 15, 17, 18, 19, 21, 23, 25, 28, 29, 32, 41, 45, 46, 55, 57, 58
Section 10.4: 2, 3, 4, 5, 7, 11, 12, 15, 17, 20, 21, 23, 24, 28, 31, 33, 39, 41, 43, 44
Section 10.5: 1, 3, 5, 6, 7, 8, 10, 15, 18, 19, 21, 22, 24, 27, 31, 33, 35, 45, 46, 47, 49
Section 10.6: 3, 5, 6, 11, 13, 14, 17, 19, 21, 23, 26, 27, 28, 31, 32, 33, 36, 37, 38, 49, 51, 57
Section 10.7: 3, 4, 7, 8, 9, 11, 13, 14, 15, 19, 20, 27, 33, 34, 37, 43, 44, 47, 51, 54
CHAPTER 11.
Section 11.1: 7, 9, 13, 15, 17, 19, 21, 22, 26, 27, 29, 30, 31, 33, 43, 45, 47, 49, 50, 51, 55, 56, 65, 66
Section 11.2: 1, 2, 4, 5, 7, 9, 12, 15, 16, 17, 20, 25, 27, 29, 31, 32, 33, 37, 38, 47, 49
Section 11.3: 1, 2, 4, 5, 7, 9, 13, 14, 16, 17, 21, 22, 26, 28, 29, 37, 38, 45, 46, 50
Section 11.4: 1, 2, 3, 5, 8, 9, 12, 13, 16, 17, 20, 25, 26, 27, 33, 34, 42, 43, 47
Section 11.5: 1, 2, 8, 9, 11, 12, 15, 16, 17, 19, 22, 23, 25, 28, 31, 33, 35, 40, 43, 44, 45, 47, 50, 51, 53, 55
Section 11.6: 1, 2, 4, 9, 10, 14, 17, 18, 21, 23, 25, 26, 33
Section 11.7: 1, 2, 3, 5, 6, 8, 9, 10, 15, 18, 21, 22, 23, 25, 29, 30, 33, 37, 39, 41, 42
Section 11.8: 1, 4, 7, 8, 9, 11, 12, 15, 19, 21, 23, 26, 27, 28, 31, 33, 38, 45, 49, 51
