MAC 2282 — Engineering Calculus II — Syllabus
Prerequisites: C (2.0) or better in MAC 2281, or C (2.0)
or better in MAC 2311.
Course Description: The course meets for approximately 55 hours during
a 15-week semester. Successful completion of the course merits 4 semester hours
of credit and provides sufficient background for either MAC 2283 (Engineering
Calculus III) or MAC 2313 (Calculus III). The schedule outlined below allows time
for four midterm exams plus a cumulative final exam, which are the norms for
this course. (Note: A “lecture” is defined as a 50-minute time
period.)
Text: Calculus: Early Transcendental Functions, 4th Edition,
by Larson, Hostetler, and Edwards
Course Content
Chapter 5 Integration (2-3 weeks)
5.1 Antiderivatives and Indefinite Integration (omit)
5.2 Area (omit)
5.3 Riemann Sums and Definite Integrals (omit)
5.4 The Fundamental Theorem of Calculus (review)
5.5 Integration by Substitution (review)
5.6 Numerical Integration (omit)
5.7 The Natural Logarithmic Function: Integration
5.8 Inverse Trigonometric Functions: Integration
5.9 Hyperbolic Functions
Chapter 6 Differential Equations (omit)
6.1 Slope Fields and Euler's Method
6.4 Differential Equations: Growth and Decay
6.5 Differential Equations: Separation of Variables
6.4 The Logistic Equation
6.5 First-Order Linear Differential Equations
6.6 Predator-Prey Differential Equations
Chapter 7 Applications of Integration (2-3 weeks)
7.1 Area of a Region Between Two Curves
7.2 Volume: The Disk Method
7.3 Volume: The Shell Method
7.4 Arc Length and Surfaces of Revolution
7.5 Work (optional)
7.6 Moments, Centers of Mass, and Centroids (optional)
7.7 Fluid Pressure and Fluid Force (optional)
Chapter 8 Integration Techniques, L'Hôpital's Rule, and Improper
Integrals (3-4 weeks)
8.1 Basic Integration Rules
8.2 Integration by Parts
8.3 Trigonometric Integrals
8.4 Trigonometric Substitution
8.5 Partial Fractions
8.6 Integration by Tables and Other Integration Techniques
8.7 Indeterminate Forms and L'Hôpital's Rule
8.8 Improper Integrals
Chapter 9 Infinite Series (3-4 weeks)
9.1 Sequences
9.2 Series and Convergence
9.3 The Integral Test and p-Series
9.4 Comparisons of Series
9.5 Alternating Series
9.6 The Ratio and Root Tests
9.7 Taylor Polynomials and Approximations
9.8 Power Series
9.9 Representation of Functions by Power Series
9.10 Taylor and Maclaurin Series
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