Math 148 - Final Exam Topics
The best way to study for the exam is to work through the examples presented in class,
problems from the lab assignments, quizzes, and previous exams, and as many problems
from this review as possible. The final exam is scheduled for:
• Sections 501–503: May 11th from 8:00-10:00 AM in Blocker 166.
• Sections 504–506: May 12th from 10:30 AM-12:30 PM in Blocker 166.
Students should bring a scantron (#815-E), a No. 2 pencil, and TAMU ID. The use of
calculators is not allowed.
• The Substitution Rule
See §7.1 examples 1-10 and problems 1-59 (odd)
• Integration by Parts
See §7.2 examples 1-10 and problems 1-35, 39-69 (odd)
• Partial Fractions
See §7.3 examples 1-7 and problems 1-51 (odd)
• Improper Integrals
See §7.4 examples 1-10 and problems 1-29, 35-41 (odd)
• The Taylor Approximation
See §7.6 examples 1-3, 5, 7 and problems 1-15, 19-23, 27-31 (odd)
• Solving Differential Equations
See §8.1 examples 1-7 and problems 1-33, 37, 39, 45-51 (odd), 57
• Equilibria and Stability
See §8.2 examples 1-3 and problems 1-13, 21-25 (odd)
• Linear Systems
See §9.1 examples 1-11 and problems 1-5, 9-17, 21-35 (odd)
• Matrices
See §9.2 examples 1-17 and problems 1-15, 21-55, 59-65, 71-79 (odd)
• Eigenvalues and Eigenvectors
See §9.3 examples 1-3 and problems 3-33, 49-79 (odd)
• Vectors and Analytic Geometry
See §9.4 examples 1-13 and problems 1-65 (odd)
• Functions of Two or More Variables
See §10.1 examples 1-4 and problems 3-21 (odd)
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• Limits and Continuity
See §10.2 examples 1-6 and problems 1-29 (odd)
• Partial Derivatives
See §10.3 examples 1-6 and problems 1-27, 31-47 (odd), 49, 50
• Tangent Planes and Linearization
See §10.4 examples 1, 4-9 and problems 1-9, 17-27, 29-45 (odd)
• The Chain Rule, Directional Derivatives, and the Gradient Vector
See §10.5 examples 1, 3-8 and problems 1-13, 17-41 (odd), 44
• Optimization
See §10.6 examples 1-9, 12-14 and problems 1-35, 37-61 (odd)
• Systems of Difference Equations
See §10.7 examples 1-6 and problems 3, 4, 9, 10, 17-41 (odd)
• Linear Systems (Theory)
See §11.1 examples 1-3 and problems 1-67 (odd)
• Linear Systems (Applications)
See §11.2 examples 1-3 and problems 1-27 (odd)
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