Math 114 - Calculus for Engineers II, Spring 2016
Topics to be included for the Final Exam
7.1 Inverse Functions and Their Derivatives 7.2 Natural Logarithms 7.3 Exponential Functions 7.5 Indeterminate Forms and L'Hopital's Rule 7.6 Inverse Trigonometric Functions 7.7 Hyperbolic Functions 8.1 Integration by Parts 8.2 Trigonometric Integrals 8.3 Trigonometric Substitotions 8.4 Integration of Rational Functions by Partial Fractions 8.7 Improper Integrals p.478, 10.1 Sequences (p.532), 10.2 Infinite Series 544, 10.3 The Integral Test 553, 10.4 Comparison Tests 558, 10.5 The Ratio and Root Tests 563, 10.5 The Ratio and Root Tests 563, 10.6 Alternating Series, Absolute and Conditional Convergence 568, 10.7 Power Series 575 10.8 Taylor and Maclaurin Series 596 12.1 Three-Dimensional Coordinate Systems 12.2 Vectors 12.3 The Dot Product 12.4 The Cross Product 12.5 Lines and Planes in Space 14.1 Functions of Several Variables 14.2 Limits and Continuity in Higher Dimensions 14.3 Partial Derivatives 14.4 The Chain Rule 14.5 Directional Derivatives and Gradient Vectors 14.6 Tangent Planes and Differentials 14.7 Extreme Values and Saddle Points |
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Math 114:
Calculus for Engineering II’
Second Exam
Date: April 18, 2016, Time 16.00
Time:
TBA
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