MATH256-103 :       Differential Equations   (First term 2014/2015)


Lecture I: Monday 14:00--15:00, Math 100.

Lecture II: Wednesday 14:00--15:00, Math 100.

Lecture III: Friday 14:00--15:00, Math 100.

Office Hours: MON, 4:40-5:30, WED, 4:40-5:30, THURS, 1-1:50. Location: MATX 1118


Downloads For MATH256


Download 1: Outline

Download 2: Assignment One

Problems (Copy)

Download 3: Assignment Two

Problems (Copy)

Download 4: Solutions to Assignment One

Download 5: Assignment Three

Download 6: Review List One

Download 7: Solutions to Assignment Two

Download 8: Practice Problems One

Download 9: Solutions to Assignment Three

Download 10: Solutions to Practice Problems

Download 11: Midterm Test

Download 12: Solutions to Midterm Test

Download 13: Assignment Four

Problems (Copy)

Download 14: Assignment Five (Deadline Extended: Oct. 27)

Problems (Copy)

Download 15: Solutions to Assignment Four

Download 16: Complete solution to Example 2 on Oct. 22

Download 17: Assignment Six (Revised: Deadline: Oct. 31)

Problems (Copy)

Download 18: Assignment Seven (Deadline: Nov. 10)

Problems (Copy)

Download 19: Solutions to Assignment Five

Download 20: Practice Problems Two

Download 21: Solutions to Assignment Six

Download 22: Solutions to Practice Problems Two

Download 23: Review List Two

Download 24: Solutions to Assignment Seven

Download 25: List of Laplace Transform

Download 26: Solutions to Midterm Test Two

Download 26: Assignment Eight (Deadline: Nov. 26)

Problems (Copy)

Download 27: Assignment Nine (Deadline: Dec. 1)

Problems (Copy)

Download 28: Practice Problems

Download 29: Final review list

Download 29: Solutions to Final Practice Problems (1)

Download 30: Solutions to Final Practice Problems (2)

Download 31: Solutions to Final Practice Problems (3)

Download 32: Solutions to Final Practice Problems (4)

Download 33: Solutions to Final Practice Problems (5)

Updates For MATH 256


September 3rd, 2014: First class

September 3d: Chapter 1. Introduced ODE, the order, general and particular solutions, linear.

Sept. 5: Chapter 2.1: First order linear equation. Two ways to derive the formula. Three examples. Remember the formula!

Sept 8: Two problems in Section 2.1. Interval of Existence: check a) the solution, b) the equation, c) the initial condition. Separable Equations (2.2). Three problems in Section 2.2.

Sept. 10: Three problems on separable equations. Difference between linear and nonlinear ODEs (2.4). Homogeneous ODEs.

Sept. 12: Modelling with ODEs (2.3, 2.5). Example 1: Bank. Example 2: rockets. Example 3: population dynamics.

Sept 15: More on Example 3. Section 3.1 and 3.2. Finished with the definition of Wronskian.

Sept. 17: Finished 3.2 on the theory of fundamental solutions. Start on 3.3.

Sept. 19: Finished 3.3 and 3.4. Reduction of Order.

Sept. 22: Reduction of Order. Euler's type equation Notes on Euler Equation . Method of Undetermined Coefficients. Notes on Method of Undetermined Coefficients

Sept. 24: Method of Undetermined Coefficients (3.5). Examples.

Sept 26: Method of Variation of Parameters (3.6). Examples.

Sept. 29: Spring-Mass system (3.7). Three Cases.

Oct. 1: Spring-Mass system (3.8). Review for Midterm.

Oct. 3: Midterm Test

Oct. 6: Section 7.3. Eigenvalues, Eigenvectors, Algebraic multiplicity, geometric multiplicity. Please do more examples by yourself.

Oct. 8: Section 7.4: Basic Theory of Systems of Linear ODEs. Abel's formula: $W^{'} (t)= (p_{11}+...+ p_{nn} ) W$. Three definitions.

Oct. 10: Section 7.4. Start on Section 7.5.

Oct. 15: Section 7.6. Started on Section 7.8.

Oct. 17: Section 7.7, Section 7.8.

Oct. 20: Section 7.9. Method of Diagonalization and Method of Undetermined Coefficients.

Oct. 22: Section 7.9: Method of Variation of Parameters. Please check the appendix for complete solutions of Example 2.

Oct. 24: Section 6.1. Laplace transform. Definitions and five examples.

Oct. 27: Section 6.2: Properties of Laplace Transform, Inverse Laplace Transform, Method of Partial Fractions.

Oct. 29: Finished Section 6.2. Started on Section 6.3: Discontinuous Functions.

Oct. 31: Section 6.3 and Section 6.4.

Nov. 3: Section 6.4, Section 6.5.

Nov. 5: Section 6.5, 6.6.

Nov. 7: Section 10.1

Nov. 10: Section 10.2, 10.3.

Nov. 12: Section 10.3, 10.4.

Nov. 14: started on 10.5. Review of Chapter 6 and 7.

Nov. 17: Midterm Test Two.

Nov. 19: 10.5

Nov. 21: 10.6

Nov. 24: 10.6, 10. 7

Nov. 26: 10. 8 < h3>

Nov. 28: Review for final exam.


Announcements For MATH 256-103


Office Hours are: MON, 4:40-5:30, WED, 4:40-5:30, THURS, 1-1:50. Location: MATX 1118

Coverage of Midterm Test 1: Chapter 1, 2.1-2.5, 3.1-3.6.

Mean of Midterm Test 1: 68.5

Deadline of HW#5 is extended to Oct. 27 !

For HW#6, problem 7.9, 3: use the method of variation of parameters. You will get full marks for whatever method, as long as you can solve it.

New deadline for handing in HW#9: 6pm on Dec. 2.

Office Hours in the week of Dec. 1-5: I will hold office hours on Dec.1, 2, and 3 at room MATH Annex 1118 from 4pm to 5pm.


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