MATH 2414 - Calculus II


TTh 8:30am-10:50am in B13.311: Section 6003
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Boardwork Snapshots


Course Outline and Suggested Homework Problems

(*** - section has been taught)

       

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions

*** 5.1- The Natural Logarithmic Function: Differentiation 19, 23-35 odd, 39, 41, 47-59 odd, 87, 91, 93, 101, 103
*** 5.2- The Natural Logarithmic Function: Integration 1-13 odd, 27-39 odd, 53, 55
*** 5.3- Inverse Functions 1, 3, 7, 23, 25, 71, 75
*** 5.4- Exponential Functions: Differentiation and Integration 1, 3, 5, 11, 39-53 odd, 61, 65, 69, 71, 73, 99-107 odd, 117, 119, 121
*** 5.5- Bases Other Than e and Applications 1-6, 19, 21, 24, 25, 27, 41-57 odd, 63, 65, 67, 71, 75-83 odd
*** 5.6- Inverse Trigonometric Functions: Differentiation 5-27 odd, 43-55 odd, 63, 65
*** 5.7- Inverse Trigonometric Functions: Integration 1-13 odd, 19, 21, 25, 27, 31, 33, 39, 41, 71, 73, 75
*** 5.8- Hyperbolic Functions 1-9 odd, 13, 17-31 odd, 35, 37, 45-53 odd, 57-71 odd, 87-93 odd

Chapter 6 - Differential Equations

*** 6.2- Differential Equations: Growth and Decay 21, 23, 33-41 odd, 57, 59
*** 6.3- Separation of Variables and the Logistic Equation 1-19 odd, 25, 27, 31-41 odd

Chapter 8 - Integration Techniques, L'Hôpital's Rule, and Improper Integrals

*** 8.1- Basic Integration Rules 15-39 odd
*** 8.2- Integration by Parts 7-29 odd, 49-55 odd
       

*** Exam #1 ***

       

Chapter 8 - Integration Techniques, L'Hôpital's Rule, and Improper Integrals

*** 8.3- Trigonometric Integrals 5-13 odd, 25-35 odd, 51, 53, 55, 67, 69
*** 8.4- Trigonometric Substitution 5, 9, 13, 21-37 odd, 43, 45
*** 8.5- Partial Fractions 7-23 odd, 41, 43
*** 8.6- Integration by Tables and Other Integration Techniques 15-33 odd, 43, 45
*** 8.7- Indeterminate Forms and L'Hôpital's Rule 11-27 odd, 45, 47, 49, 53, 57, 59, 61, 83
*** 8.8- Improper Integrals 1, 3, 15, 19-29 odd, 37-45 odd
       

*** Exam #2 ***

       

Chapter 9 - Infinite Series

*** 9.1- Sequences 1, 3, 5, 11, 13, 15-18, 23-39 odd, 45-51 odd, 57-63 odd, 73-85 odd
*** 9.2- Series and Convergence 1-17 odd, 25, 27, 29, 37-71 odd, 83, 85
*** 9.3- The Integral Test and p-Series 1-17 odd, 27-39 odd
*** 9.4- Comparisons of Series 3-27 odd, 45, 47
*** 9.5- Alternating Series 11-35 odd, 47-65 odd
*** 9.6- The Ratio and Root Tests 1, 3, 13-27 odd, 35-43 odd, 51-67 odd, 87, 89, 91
*** 9.7- Taylor Polynomials and Approximations 1-4, 13-29 odd, 33, 41-51 odd
*** 9.8- Power Series 1-47 odd, 65, 67
*** 9.9- Representation of Functions by Power Series 1-21 odd
*** 9.10- Taylor and Maclaurin Series 1-33 odd, 45, 46, 57, 63

Chapter 10 - Conics, Parametric Equations, and Polar Coordinates

*** 10.1- Conics and Calculus 1-8, 9-15 odd, 21-33 odd, 39-49 odd, 57, 59, 61, 67, 69, 71
*** 10.2- Plane Curves and Parametric Equations 3-19 odd, 33, 39-42, 43-57 odd
*** 10.3- Parametric Equations and Calculus 1-17 odd, 23-33 odd, 39-51 odd, 57, 59, 71, 73
  10.4- Polar Coordinates and Polar Graphs 1, 3, 5, 11, 13, 15, 23-26, 29-43 odd, 63, 64, 69-72, 77-83 odd
  10.5- Area and Arc Length in Polar Coordinates 1-15 odd, 25-33 odd, 55, 57, 59, 67, 69

      

     

*** Exam #3 ***

       

*** Final Exam ***