Fall 2011 Resources for Math 151 (Sections 1,2)
This course follows a student-centered approach that recognizes and respects differences in learning styles. Students are expected to use those resources that are effective for them. Effectiveness can be measured by performance on the in-class assignments and exam. The course is organized into 19 units, of various lengths. The following master links can be used to find supplementary material, such as study guides or solutions.
Books:
Strang's Calculus
Thomas's Calculus
Videos:
Jerison (full lectures)
Hollis (long tutorials)
Patrick (short tutorials)
Khan (short tutorials)
Additional Material for Units 7,8:
Hollis
Unit 1: Hyperbolic Trigonometric Functions
For Wednesday 8/31, Friday 9/2 (9/5 holiday)
Strang 6.7, Thomas 7.8 with exercises
Patrick 1 2
Unit 2: Integration by parts
For Wednesday 9/7, Friday 9/9, Monday 9/12
Strang 7.1, Thomas 8.2 with exercises
Jerison 30 (18:30 onwards), Hollis 34, Patrick 1 2 3 4, Khan 1
Unit 3: Integration of Trigonometric Functions
For Monday 9/12, Wednesday 9/14
Strang 7.2, Thomas 8.4 with exercises
Jerison 27 (until 29:30), Hollis 35,36, Patrick
1 2 3 4 5 6
Unit 4: Trigonometric Substitition
For Friday 9/16, Monday 9/19
Strang 7.3, Thomas 8.5 with exercises
Jerison 27 (29:30 onwards), Jerison 28, Hollis 37, Patrick 1 2 3, Khan 1 2 3
Unit 5: Partial Fractions
For Wednesday 9/21, Friday 9/23
Strang 7.4, Thomas 8.3 with exercises
Jerison 29 and Jerison 30 (up to 18:30), Hollis 38, Patrick 1 2 3 4, Khan 1 2 3
Unit 6: Improper Integrals
For Monday 9/26, Wednesday 9/28
Strang 7.5, Thomas 8.8 with exercises
Jerison 36, Jerison 37 (up to 18:00), Hollis 45, Patrick
1
2
EXAM: FRIDAY, 9/30
Unit 7: Separable Differential Equations
For Monday 10/3, Wednesday 10/5, Friday 10/7
Strang 6.5, Thomas 9.1 with exercises, Hollis
Jerison 16, Hollis, Patrick
1 2 3, Khan 1 2, Bonus
Unit 8: Linear First Order Differential Equations
For Monday 10/10, Wednesday 10/12, Friday 10/14
Thomas 9.2 with exercises, Hollis
Hollis, Patrick
1, Bonus 1 2
Unit 9: Volumes of Revolution
For Monday 10/17, Wednesday 10/19, Friday 10/21
Strang 8.1, Thomas 6.1 with exercises, Thomas 6.2 with exercises
Jerison 22, Hollis 27,28,29, Patrick
1 2 3 4 5 6 7, Khan
1 2 3 4 5 6 7 8
Unit 10: Arc Length
For Monday 10/24, Wednesday 10/26
Strang 8.2, Thomas 6.3 with exercises
Jerison 32 (up to 22:40), Hollis 40, Patrick
1 2 3 4
Unit 11: Surface of Revolution
For Friday 10/28
Strang 8.3, Thomas 6.5 with exercises
Jerison 32 (22:40-28:10) Hollis 40, Patrick
1
Unit 12: Polar Coordinates
For Monday 10/31, Wednesday 11/2
Strang 9.1, 9.2 (first half), Thomas 10.5 with exercises, Thomas 10.6 with exercises
Jerison 32 (28:10 onward), Hollis 41, Patrick
1 2 3 4, Khan
1 2 3
Unit 13: Conic Sections in Polar Coordinates
For Friday 11/4
Strang 9.2 (second half), Thomas 10.8 with exercises
Unit 14: Sequences
For Monday 11/7
Thomas 11.1 with exercises
Hollis 47, Patrick
1 2 3 4 5 6, Khan 1 2 3 4
Unit 15: Series
For Wednesday 11/9 (11/11 holiday), Monday 11/14
Strang 10.1, Thomas 11.2 with exercises
Jerison 37 (18:00-29:00), Hollis 49, Patrick
1 2 3 4 5 6 7 8 9, Khan
1 2 3 4
Unit 16: Convergence Tests for Positive Series
For Wednesday 11/16, Friday 11/18, Monday 11/21 (11/23 holiday)
Strang 10.2, Thomas 11.3 with exercises,Thomas 11.4 with exercises, Thomas 11.5 with exercises
Jerison 37 (29:00 onward), Jerison 38 (up to 22:10), Hollis 50,51, Patrick
1 2 3 4 5 6 7 8 9
Unit 17: Alternating Series and Absolute Convergence
For Monday 11/28, Wednesday 11/30
Strang 10.3, Thomas 11.6 with exercises
Hollis 52, Patrick
1 2 3 4
Unit 18: Taylor Series
For Friday 12/2, Monday 12/5
Strang 10.4, Thomas 11.8 with exercises,Thomas 11.9 with exercises
Hollis 54,55, Patrick
1 2 3 4 5, Khan 1 2 3 4 5 6 7
Unit 19: Power Series
For Wednesday 12/7, Friday 12/9
Strang 10.5, Thomas 11.7 with exercises
Jerison 38 (22:10 onward), Jerison 39, Hollis 53, Patrick
1 2 3 4 5
FINAL EXAM: MONDAY, 12/12, 10:30am-12:30pm
