Math 23 Homework
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Lectures |
Textbook Sections |
Course Topics |
Homework Exercises |
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Day 1, Monday 3/29/21 |
1.1, 1.2 |
What are differential equations |
Section 1.1 Exercise 7, 9, 13, 23; Section 1.2 Exercises 1.a, 5, 11 Due Wednesday April 7 at 3 PM All the homework exercises for the whole week should be submitted in Canvas as one PDF file |
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Day 2, Wednesday 3/31/21 |
1.3, 2.1 |
Classification and linear first-order ODEs |
Section 1.3 Exercises 1, 2, 7, 11; Section 2.1 Exercises 5, 15, 20 Due Wednesday April 7 at 3 PM All the homework exercises for the whole week should be submitted in Canvas as one PDF file |
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Day 3, Friday 4/2/21 |
2.2, 2.4 |
Separable equations and existence-uniqueness theorems. |
Section 2.2 Exercises 5, 7, 11.a, 23; Section 2.4 Exercises 3, 5, 11, 21 Due Wednesday April 7 at 3 PM All the homework exercises for the whole week should be submitted in Canvas as one PDF file |
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Day 4, Monday 4/5/21 |
2.3 |
Modeling with differential equations |
Section 2.3 Exercises 2, 3.a, 5, 7, 17.a, 17.b (to be considered as separate exercises) Due Wednesday April 14 to be submitted via Canvas, the whole week assignment should be one PDF file all the homework exercises for the whole week should be submitted in Canvas as one PDF file |
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Day 5, Wednesday 4/7/21 |
2.5 |
Autonomous equations and population dynamics |
Section 2.5 Exercises 1, 3, 7, 14, 25.a Due Wednesday April 14, all the homework exercises for the whole week should be submitted in Canvas as one PDF file |
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Day 6, Friday 4/9/21 |
2.6 |
Exact equations |
Section 2.6 Exercises 1, 9, 15, 19, 21, 22 Due Wednesday April 14, all the homework exercises for the whole week should be submitted in Canvas as one PDF file |
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Day 7, Monday 4/12/21 |
3.1 |
Second order constant coefficient
equations |
Section 3.1 Exercises 3, 15, 17, 21 Due Wednesday April 21 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 8, Wednesday 4/14/21 |
3.2, 3.3 |
Complex conjugate roots |
Section 3.2 Exercises 7, 11, 15, 21 Section 3.3 Exercises 7, 19, 23 Due Wednesday April 21 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 9, Friday 4/16/21 |
3.4 |
Repeated roots and reduction of order |
Section 3.4 Exercises 5, 11, 14, 19, 21 Due Wednesday April 21 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 10, Monday 4/19/21 |
3.5, 3.6 |
Method of undetermined coefficients; Variation of parameters |
Section 3.5 Exercises 11, 13, 15, 25 Section 3.6 Exercises 9 and 11 Due Wednesday April 28 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Tuesday 4/20/21 First 2-hour Midterm Exam |
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Day 11, Wednesday 4/21/21 |
7.1, 7.2 |
Review of matrices. |
Section 7.1 Exercises 1, 3, 7, 15 Section 7.2 Exercises 1, 7, 9 Due Wednesday April 28 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 12, Friday 4/23/20 |
7.3, 7.4 |
Systems of ODEs; Existence and uniqueness of solutions of systems of ODEs. |
Section 7.3 Exercises 1, 7, 11, 15, 19 Section 7.4 Exercises 3 (parts a, b, c) to count together as one exercise and 3 (parts d, e, f to count together as a separate exercise), Exercise 5 (parts a, b, c only to count together as one exercise). Due Wednesday April 28 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 13, Monday 4/26/21 |
7.5 |
Constant coefficients systems with distinct real eigenvalues |
Section 7.5 Exercises 1 (using graphing devices is allowed), 7, 11, 13, 15 Due Wednesday May 5 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 14, Wednesday 4/28/21 |
7.6 |
Constant coefficient systems with complex conjugate eigenvalues |
Section 7.6 Exercises 3, 5, 7, 11, 17 Due Wednesday May 5 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 15, Friday 4/30/21 |
7.8 |
Repeated Eigenvalues |
Section 7.8 Exercises 1 (using graphing devices is allowed), 5, 7, 11, 13 Due Wednesday May 5 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 16, Monday 5/3/21 |
7.8, 9.1 |
Repeated eigenvalues; Phase plane; linear systems |
Section 9.1 Exercises 3, 7, 9, 11 Due Wednesday May 12 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 17, Tuesday 5/4/21 X-hour class instead of the Memorial Day |
9.1 and begin 7.9 |
Phase Plane; Linear Systems |
Section 7.9 Exercises 3, 5 Due Wednesday May 12 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 18 Wednesday 5/5/21 |
9.2 |
Autonomous Systems and Stability |
Section 9.2 Exercises 5, 9, 15 (parts a and b only in all of the exercises 5, 9, 15 and usage of graphing devices is allowed when necessary) Due Wednesday May 12 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 19, Friday 5/7/21 |
9.3, 9.4 |
Locally Linear Systems |
Section 9.3 Exercises 5, 7 and Section 9.4 Exercises 3 (in this problem parts a, b, c will count together as one exercise and parts d, e, f together will count as a different exercise for the grading purposes). Due Wednesday May 12 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 20, Monday 5/10/21 |
9.4, 9.5 |
Competing Species and Predator-Prey Equations |
Section 9.5 Exercise 1 (parts a, b, c is one exercise for grading purposes) and part (d, e, f, g another exercise for grading purposes), Exercise 7 Due Wednesday May 19 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Second 2-hour Midterm Exam Tuesday 5/11/21 |
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Day 21, Wednesday 5/12/21 |
6.1. 6.2 |
Laplace Transform and the IVP |
Section 6.1 Exercises 5, 11, 13 Section 6.2 Exercises 1, 5, 9, 13 Due Wednesday May 19 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 22, Friday 5/14/21 |
6.3 |
IVPs and Step function |
Section 6.3 Exercises 5, 9, 13, 21 Due Wednesday May 19 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 23 Monday 5/17/21 |
6.4 |
Discontinuous forcing functions, |
Section 6.4 Exercises 1, 7, 13, 15 Due Wednesday May 26 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 24, Wednesday 5/19/22 |
6.5 |
Impulse Functions |
Section 6.5 Exercises 1, 3, 13 Due Wednesday May 26 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file |
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Day 25, Friday 5/22/21 |
6.6 |
The convolution integral |
Section 6.6 Exercises 1, 3, 5, 7, 11 Due Wednesday May 26 at 3 PM, all the homework exercises for the whole week should be submitted in Gradescope as one PDF file
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Day 26, Monday 5/25/21 |
10.1 |
Two-point boundary value problems |
Section 10.1 Exercise 1, 7, 11, 17 Due Wednesday June 2 at 3 PM, all the
homework exercises for the whole week should be submitted in Gradescope as one PDF file
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Day 27, Wednesday 5/26/21 |
10.2 |
Fourier Series |
Section 10.2 Exercises 7, 13, 15, 19 Due
Wednesday June 2 at 3 PM, all the homework exercises for the whole week
should be submitted in Gradescope as one PDF
file |
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Day 28, Friday 5/28/21 |
10.3 |
The Fourier Convergence Theorem |
Section 10.3 Exercises 3, 5, 15 Due Wednesday June 2 at 3 PM, all the
homework exercises for the whole week should be submitted in Gradescope as one PDF file
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Monday 5/31/21 Memorial Day, No Class |
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Day 29, Wednesday 6/2/21 |
Course Wrap Up |
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3 Hour Final Exam will be 8-11 AM on Sunday May 6 |
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