Week 
Material Covered 
Assignment Homework 
Additional Exercises 
Notes 
Week 1 (Jan. 25th29th) 
1.1: Differential Equations and Mathematical Models 
1.1: 1, 4, 5, 32; 1.2: 2, 7, 11, 14, 25, 27, 37 (due on Feb. 12th) 
1.1: 7, 9, 43; 1.2: 6, 10, 33, 35 


1.2: Integrals as General and Particular Solutions 



Week 2 (Feb. 1st5th) 
1.3: Slope fields and solutions curves 
1.3: 12, 14, 28; 1.4: 1, 4, 6, 23, 25, 27, 35, 47 (due on Feb. 15th) 
1.3: 16, 30; 1.4: 5, 10, 28, 33, 51 


1.4: Separable differential equations 


Notes on the exponential equation and mathematical models 
Week 3 (Feb. 8th12th) 
1.4: Exponential equation and Mathematical Models 
1.5: 1, 3, 6, 17, 37; 1.6: 1, 2, 13, 20, 31, 34 (due on Feb. 22nd) 
1.5: 14, 17, 36, 38; 1.6: 4, 16, 21, 59, 62 


1.5: Linear first order differential equations 



Week 4 (Feb. 15th19th) 
1.5: Mixture problems and 1.6: Substitution methods 
All problems of the Practice Midterm I without the asterisk, plus 1 problem at your choice with an asterisk except Problem 2 (due date Feb. 29th) 
1.2: 35, 36; 1.3: 30; 1.4: 41, 51, 52; 1.5: 22, 23, 24, 38; 1.6: 15, 21, 36, 59 


1.6: Substitution Methods  Homogeneous equations, Bernoulli equations 




1.6: Exact Differential Equations 


Examples of exact differential equations 
Week 5 (Feb. 22th26th) 
2.1: Population Models: Logistic Equation 
2.1: 10, 13, 21; 2.2: 19 (due on March 9th/11th in Recitation Sections) 
2.1: 2, 18, 30; 2.2: 23 


2.1: Logistic Equation and 2.2: Equilibrium solutions and stability 




2.2: Bifurcation 



Week 6 (Feb. 29thMarch 4th) 
Review Midterm I 




Midterm I 




2.3: Accelerationvelocity models and 2.4: Euler Method 



Week 7 (March 7th11th) 
3.1: Introduction: Secondorder linear equations 
2.3: 2; 3.1: 1, 3, 22, 25, 33, 39, 31; 3.5: 1 
2.3:4, 6; 3.1: 21, 23, 36, 38 


3.1: Introduction: Secondorder linear equations 




3.5: Undetermined Coefficients Method for homogeneous secondorder linear equations 



Week 8 (March 14th18th) 
Spring Break 



Week 9 (March 21th25th) 
3.2: General solutions of linear equations 
3.2: 7,8; 3.3: 11, 13, 18, 27, 31; 3.5: 1, 3, 4, 12 (due date March 30th / April 1st) 



3.3: Homogeneous Equations with constant coefficients 



Week 10 (March 28th  April 1st) 
3.5: Nonhomogeneous Equations 
Practice Midterm II 



Review Midterm 2 



Week 11 (April 4th  April 8th) 
3.4: Mechanical Vibrations and Review Midterm 2 




Midterm II (April 6th) 




4.1: Firstorder systems 
Assignment 8 (sections 3.4, 3.5, 4.1) 


Week 12 (April 11th  April 15th) 
5.1: Matrices and linear systems 




5.2: The eigenvalue method (distinct real solutions) 
Assignment 9 


Week 13 (April 18th  April 22th) 
5.2: The eigenvalue method (complex solutions) 




5.5: The eigenvalue method (multiple solutions) 



Week 14 (April 25th  April 29th) 
5.5: The eigenvalue method (multiple solutions) 
Assignment 10 (due date April 29th) 



5.6: Exponential matrix 




5.7: Undetermined coefficients for linear systems 




4.2: Elimination method for systems of differential equations (homogeneous and nonhomogeneous) 



Week 15 (May 2nd  May 6th) 
Review I 
Assignment 11 (due date May 6th) 



Review II 




Review III 




Final Exam on Monday May 16th at 8.00am 


