
$Carnegie Mellon$

21-122 Integration and Approximation


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Schedule and Homework

For each week there will be a link to a page with a reading assignment and a homework assignment. This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked.

Week #1:
May 18 - 22
Assignments M: Introduction. 7.1. Integration By Parts
T: 7.2. Trigonometric Integrals
W: 7.3. Trigonometric Substitution 7.4. Partial Fractions
R: 7.5. Strategy for Integration
F: 7.7. Approximate Integration Approximate Integration Continued

Week #2:
May 25 - 29
Assignments M: Memorial Day. No class.
T: 7.8. Improper Integrals
W: Improper Integrals Continued 8.1. Arc Length
R: 9.3. Separable Equations
F: 9.2. Direction Fields and Euler's Method

Week #3:
Jun 1 - 5 M:11.1. Sequences
T: 4.8. Newton's Method
W:
R: 11.2. Series Series Continued
F: 11.3. The Integral Test and Estimates of Sums

Week #4:
Jun 8 - 12 M: 11.4. The Comparison Tests 11.5. Alternating Series
T: Alternating Series Test Continued
W: 11.6. Absolute Convergence and the Ratio and Root Tests 11.8. Power Series
R: 11.9. Representations of Functions as Power Series
F: 11.10. Taylor and Maclaurin Series. Taylor Series Continued

Week #5:
Jun 15 - 19
M: Taylor Series Continued
T: 11.11. Applications of Taylor PolynomialsPower Series Series Solutions of Differential Equations
W:
R: More Applications of Taylor Polynomials
F: 10.1 Curves Defined by Parametric Equations. 10.2 Calculus with Parametric Curves.

Week #6:
Jun 22 - 26 M: 10.3 Polar Coordinates.
T: 10.4 Areas and Lengths in Polar Coordinates. 12.1 Three Dimensional Coordinate Systems.
W: 12.2 Vectors.
R: 12.3 The Dot Product.

Final Exam The Final Exam has been scheduled for Friday, June 28. Please take this into account when making your travel plans.

Week #1: May 18 - 22 Assignments	M: Introduction. 7.1. Integration By Parts T: 7.2. Trigonometric Integrals W: 7.3. Trigonometric Substitution 7.4. Partial Fractions R: 7.5. Strategy for Integration F: 7.7. Approximate Integration Approximate Integration Continued
Week #2: May 25 - 29 Assignments	M: Memorial Day. No class. T: 7.8. Improper Integrals W: Improper Integrals Continued 8.1. Arc Length R: 9.3. Separable Equations F: 9.2. Direction Fields and Euler's Method
Week #3: Jun 1 - 5	M:11.1. Sequences T: 4.8. Newton's Method W: R: 11.2. Series Series Continued F: 11.3. The Integral Test and Estimates of Sums
Week #4: Jun 8 - 12	M: 11.4. The Comparison Tests 11.5. Alternating Series T: Alternating Series Test Continued W: 11.6. Absolute Convergence and the Ratio and Root Tests 11.8. Power Series R: 11.9. Representations of Functions as Power Series F: 11.10. Taylor and Maclaurin Series. Taylor Series Continued
Week #5: Jun 15 - 19	M: Taylor Series Continued T: 11.11. Applications of Taylor PolynomialsPower Series Series Solutions of Differential Equations W: R: More Applications of Taylor Polynomials F: 10.1 Curves Defined by Parametric Equations. 10.2 Calculus with Parametric Curves.
Week #6: Jun 22 - 26	M: 10.3 Polar Coordinates. T: 10.4 Areas and Lengths in Polar Coordinates. 12.1 Three Dimensional Coordinate Systems. W: 12.2 Vectors. R: 12.3 The Dot Product.
Final Exam	The Final Exam has been scheduled for Friday, June 28. Please take this into account when making your travel plans.