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Math 147 - Final Exam Topics The best way to study for the exam is to work through the examples presented in class, problems from the suggested homework, and as many problems from this review as possible. The final exam will consist of 25 multiple choice questions worth 4 points each. The final exam is scheduled for • Sections 501–503: December 14th from 8:00-10:00 AM in Richardson 114 • Sections 504–506: December 15th from 8:00-10:00 AM in Richardson 114 • Sections 507–509: December 16th from 10:30 AM - 12:30 PM in Richardson 114 Students should bring a scantron (#882-E), a No. 2 pencil, and TAMU ID. The use of calculators is not allowed. • Preliminaries See §1.1 examples 1-11 and problems 3-41, 55-83 (odd) • Elementary Functions See §1.2 examples 2, 3, 9-14 and problems 13-19, 33, 35, 59-65, 69-85 (odd) • Graphing Functions See §1.3 examples 1, 2, 4-7 and problems 23-31, 43-65 (odd), 93, 94, 97, 98 • Limits See §3.1 examples 1-3, 5-7, 9-15, and problems 1-31, 37-53 (odd) • Continuity See §3.2 examples 1, 2, 6, and problems 5-11 (odd), 25 • Limits at Infinity See §3.3 examples 1, 2, and problems 1-23 (odd), 25, 27, 29 • The Sandwich Theorem See §3.4 examples 1, 2, and problems 1-4 • Trigonometric Limits See §3.4 example 3 and problems 5-19 (odd) • Intermediate Value Theorem See §3.5 example 1 and problems 1-6 • Derivatives See §4.1 examples 1-5 and problems 1-5, 9-13, 17-29, 57-69 (odd) • Basic Rules of Differentiation See §4.2 examples 1-4 and problems 1-75 (odd) 1 • Product and Quotient Rules See §4.3 examples 1, 2, 4-12 and problems 1-91 (odd) • Chain Rule and Higher Derivatives See §4.4 examples 1-16, 18-22 and problems 1-87 (odd) • Derivatives of Trigonometric Functions See §4.5 examples 1-5 and problems 1-59, 65-71 (odd) • Derivatives of Exponential Functions See §4.6 examples 1-6 and problems 1-71 (odd) • Derivatives of Inverse Functions See §4.7 examples 1-12 and problems 1-59, 63-75 (odd) • Linear Approximations See §4.8 examples 1-3 and problems 1-29 (odd) • Extrema and the Mean Value Theorem See §5.1 examples 2-8 and problems 1-7, 13-29, 33-41 (odd), 48, 49 • Monotonicity and Concavity See §5.2 examples 1, 3 and problems 1-19 (odd), 26, 27, 28, 30 • Extrema, Inflection Points, and Graphing See §5.3 examples 1-3, 5, 6 and problems 1-15, 19-23 (odd), 26, 27-33 (odd), 35, 36, 39, 42 • Optimization See §5.4 examples 1-4 and problems 1-18, 21-23 • L’Hopital’s Rule See §5.5 examples 1-12 and problems 1-59 (odd) • Exponential Growth and Decay See §2.1 example 1 and problems 5-57 (odd) • Sequences See §2.2 examples 1-8, 10, 11, 13-15 and problems 1-51, 71-109 (odd) • Difference Equations: Equilibria and Stability See §5.6 examples 1-5 and problems 1-19 (odd), 23, 25 • Antiderivatives See §5.8 examples 1-6 and problems 1-75 (odd) • The Definite Integral See §6.1 examples 1-6, 8-11, 13 and problems 1-29, 33-37, 49-67, 75-79 (odd) • The Fundamental Theorem of Calculus See §6.2 examples 1-16 and problems 1-125 (odd) 2