Website references below are to the website accompanying our text: http://www.stewartcalculus.com/media/6_inside_topics.php. The website is used for supplementary topics that are not included in the print version of the textbook.
January 20: Review of Integration
January 22: Integration by Substitution
ed 1: 5.5 Number 1-54 odd
ed 2: 5.5 Number 1-56 odd
January 25: Integration by Parts
ed 1: 6.1 Number 1-28 odd
ed 2: 6.1 Number 1-30 odd
January 27: Trigonometric integrals and substitution
ed 1: 6.2 Number 1-33 odd, 41-57 odd
ed 2: 6.2 Number 1-33 odd, 43-59 odd
January 29: Partial fractions
ed 1: 6.3 Number 1-39 odd
ed 2: 6.3 Number 1-39 odd
February 1: Partial fractions (cont.)
February 3: Improper integrals
ed 1: 6.6 Number 5-31 odd, 41, 43, 45
ed 2: 6.6 Number 5-31 odd, 41, 43, 45
February 5: Areas between curves
ed 1: 7.1 Number 1-15 odd, 16
ed 2: 7.1 Number 1-19 odd, 18
February 8: Volumes
ed 1: 7.2 Number 1-11 odd, 21, 27
ed 2: 7.2 Number 1-11 odd, 27, 33
February 10: Volumes by cylindrical shells
ed 1: 7.3 Number 5, 6, 9, 18, 19, 20, 21, 23
ed 2: 7.3 Number 5, 6, 9, 10, 11, 12, 17, 19, 33, 34
February 12: Arc Length
ed 1: 7.4 Number 2, 3, 5, 6, 10
ed 2: 7.4 Number 2, 7, 10, 15, 17
February 15: Applications to physics and engineering (work,
force)
ed 1: 7.5 Number 1, 3, 5, 7, 9, 12, 13, 15, 17, 18, 23, 25, 27, 30
ed 2: 7.6 Number 1, 3, 5, 7, 9, 12, 13, 15, 17, 18, 27, 28, 31, 34
February 17: Differential equations
ed 1: 7.6 Number 1-15 odd, 21-29
ed 2: 7.7 Number 1-15 odd, 21-29
February 19: Applications of Differential equations
ed 1: 7.6 Number 35, 37, 39, 43, 45, 46
ed 2: 7.7 Number 35, 37, 39, 43, 45, 46
February 22: Linear differential equations
Website:
Linear Differential Equations Number 1-20
February 24: Homogeneous second order differential equations
Website:
Second Order Linear Differential Equations
Number 1-24
February 26: Inhomogeneous second order equations by undetermined coefficients
Website:
Nonhomogeneous
Linear Equations Number 1-22 (undetermined cooefficients method only)
March 1: Oscillations
Website:
Applications of
Second Order Differential Equations
Number 1-10
March 3: Review
March 5, Friday: Exam I
March 8: Sequences
ed1: 8.1 Number 3-36
ed2: 8.1 Number 3-40
March 10: Series
ed 1: 8.2 Number 3-29, 33, 34
ed 2: 8.2 Number 3-28, 31-34, 35-37, 43, 44
March 12: The integral and comparison tests
ed 1: 8.3 Number 2-27
ed 2: 8.3 Number 2-31
March 15: Other convergence tests
ed 1: 8.4 Number 1-18, 19-37 odd
ed 2: 8.4 Number 1-18, 19-39 odd
March 17: Other convergence tests (cont.)
March 19: Power series
ed 1: 8.5 Number 3-20
ed 2: 8.5 Number 3-24
March 22: Representing functions as power series
ed 1: 8.6 Number 1-30
ed 2: 8.6 Number 1-32
March 26: Representing functions as power series (cont.)
March 29: Taylor and Maclaurin series
ed 1: 8.7 Number 1-34, 37-64
ed 2: 8.7 Number 1-34, 37-64
March 31: Taylor and Maclaurin series (cont.)
April 2: Applicatons of Taylor polynomials
(No Remainder, No physics)
ed 1: 8.8 Number 3,5,7, 9-15 parts (a) and (c)
ed 2: 8.8 Number 3,5,7, 9-15 parts (a) and (c)
April 5: Review
April 7, Wednesday: Exam II
April 9: Parametric curves
ed 1: 9.1 Number 1, 3, 5, 7, 9, 10, 13, 15, 16, 17, 18, 22, 31
ed 2: 9.1 Number 1, 3, 5, 7, 9, 10, 13, 15, 16, 17, 18, 22, 31
April 12: Calculus with parametric curves
ed 1: 9.2 Number 1-15 odd, 24, 25, 28, 30, 35, 37, 40
ed 2: 9.2 Number 1-15 odd, 24, 25, 28, 30, 35, 37, 38
April 14: Polar coordinates
ed 1: 9.3 Number 1-6, 7, 9, 10, 11, 13-20, 23-29 odd, 46, 47, 51-54
ed 2: 9.3 Number 1-6, 7, 9, 10, 11, 13-20, 23-33 odd, 46, 47, 51-54
April 16: Areas and length in polar coordinates
ed 1: 9.4 Number 1-13, 15-25 odd
ed 2: 9.4 Number 1-13, 15-25 odd
April 19: Areas and length in polar coordinates (cont.)
April 21:
Review
April 23:
Review
TBA
Final Exam (all sections)