# Math 147 - Final Exam Topics

```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 &sect;1.1 examples 1-11 and problems 3-41, 55-83 (odd)
• Elementary Functions
See &sect;1.2 examples 2, 3, 9-14 and problems 13-19, 33, 35, 59-65, 69-85 (odd)
• Graphing Functions
See &sect;1.3 examples 1, 2, 4-7 and problems 23-31, 43-65 (odd), 93, 94, 97, 98
• Limits
See &sect;3.1 examples 1-3, 5-7, 9-15, and problems 1-31, 37-53 (odd)
• Continuity
See &sect;3.2 examples 1, 2, 6, and problems 5-11 (odd), 25
• Limits at Infinity
See &sect;3.3 examples 1, 2, and problems 1-23 (odd), 25, 27, 29
• The Sandwich Theorem
See &sect;3.4 examples 1, 2, and problems 1-4
• Trigonometric Limits
See &sect;3.4 example 3 and problems 5-19 (odd)
• Intermediate Value Theorem
See &sect;3.5 example 1 and problems 1-6
• Derivatives
See &sect;4.1 examples 1-5 and problems 1-5, 9-13, 17-29, 57-69 (odd)
• Basic Rules of Differentiation
See &sect;4.2 examples 1-4 and problems 1-75 (odd)
1
• Product and Quotient Rules
See &sect;4.3 examples 1, 2, 4-12 and problems 1-91 (odd)
• Chain Rule and Higher Derivatives
See &sect;4.4 examples 1-16, 18-22 and problems 1-87 (odd)
• Derivatives of Trigonometric Functions
See &sect;4.5 examples 1-5 and problems 1-59, 65-71 (odd)
• Derivatives of Exponential Functions
See &sect;4.6 examples 1-6 and problems 1-71 (odd)
• Derivatives of Inverse Functions
See &sect;4.7 examples 1-12 and problems 1-59, 63-75 (odd)
• Linear Approximations
See &sect;4.8 examples 1-3 and problems 1-29 (odd)
• Extrema and the Mean Value Theorem
See &sect;5.1 examples 2-8 and problems 1-7, 13-29, 33-41 (odd), 48, 49
• Monotonicity and Concavity
See &sect;5.2 examples 1, 3 and problems 1-19 (odd), 26, 27, 28, 30
• Extrema, Inflection Points, and Graphing
See &sect;5.3 examples 1-3, 5, 6 and problems 1-15, 19-23 (odd), 26, 27-33 (odd), 35, 36,
39, 42
• Optimization
See &sect;5.4 examples 1-4 and problems 1-18, 21-23
• L’Hopital’s Rule
See &sect;5.5 examples 1-12 and problems 1-59 (odd)
• Exponential Growth and Decay
See &sect;2.1 example 1 and problems 5-57 (odd)
• Sequences
See &sect;2.2 examples 1-8, 10, 11, 13-15 and problems 1-51, 71-109 (odd)
• Difference Equations: Equilibria and Stability
See &sect;5.6 examples 1-5 and problems 1-19 (odd), 23, 25
• Antiderivatives
See &sect;5.8 examples 1-6 and problems 1-75 (odd)
• The Definite Integral
See &sect;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 &sect;6.2 examples 1-16 and problems 1-125 (odd)
2
```