MAT 1505
Mathematical Analysis II (Science/Engineering Calc)
Textbook:
James Stewart: Calculus: Concepts and Contexts
(1997) [ISBN: 0-534-772927]
Last Four Chapters (Integration, Applications of Integration, Differential Equations,
Sequences and Series)
Maple worksheets corresponding to problems in Stewart's textbook
- 5. Integrals
- 5.1 Areas and Distances
- 5.2 The Definite Integral
- 5.3 Evaluating Definite Integrals
- 5.4 The Fundamental Theorem of Calculus
- 5.5 The Substitution Rule
- 5.6 Integration by Parts
- 5.7 Integration Using Tables and Computer Algebra Systems
- 5.8 Approximate Integration
- 5.9 Improper Integrals
- 6. Applications of Integration
- 6.1 More about Areas
- 6.2 Volumes
- 6.3 Arc Length
- 6.4 Average Value of a Function
- 6.5 Applications to Physics and Engineering
- 6.6 Applications to Economics and Biology
- 6.7 Probability
- 7. Differential Equations
- 7.1 Modelling with Differential Equations
- 7.2 Direction Fields
- 7.3 Euler's Method
- 7.4 Separable Equations
- 7.5 Exponential Growth and Decay
- 7.6 The Logistic Equation
- 7.7 Predator-Prey Systems
- 8. Infinite Sequences and Series
- 8.1 Sequences
- 8.2 Series
- 8.3 The Integral and Comparison Tests; Estimating Sums
- 8.4 Other Convergence Tests
- 8.5 Power Series
- 8.6 Representations of Functions as Power Series
- 8.7 Taylor and Maclaurin Series
- 8.8 The Binomial Series
- 8.9 Applications of Taylor Polynomials
- 8.10 Using Series to Solve Differential Equations
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