MA 214 006 Calculus IV

Instructor: Rafael S. González D'León
Office: Patterson Office Tower, Room 767.
Office Hours: TR 3:00PM to 4:00PM or by appointment.

Course Assistant: Qiao Liang
Office Hours: M 9:00-10:00am at Mathskeller, WF 2:00pm-3:00pm, Patterson Office Tower, Room 706


Monday, Wednesday and Fridays 1:00PM-1:50PM CB 349.


Elementary Differential Equations William E. Boyce / Richard C. DiPrima. 10th edition.

Course Contents

MA 214 is a course in ordinary differential equations. Emphasis is on first (Chapter 2) and second order equations (Chapter 3) and applications. The course includes series solutions of second order equations (Chapter 5) and Laplace transform methods (Chapter 6). Most of chapters 1,2,3,5 and 6 from Boyce-DiPrima's book.

Examination and Grading

Tests (50%)

There will be 2 tests. These will be announced at least one week in advance.

Final (30%)

There will be a comprehensive final to be worth 30% on Wednesday 5/6/2015 1:00-3:00 P.M..

Homework and Quizzes (20%)

There will be online homework to be handed in every week.
The online homework will be assigned and completed in Webwork ( Your username is your LinkBlue ID (use only capital letters), and your password is your student ID number (8 digits).

There may also be some additional written homework. These problems will be assigned after some of the classes and also posted in the web page of the course.
There will be (unannounced) quizzes on some Wednesdays.
Homework and quizzes are equally weighted for the remaining 20% of the grade.

Grading Scale


Suggested exercises

There is a list of suggested exercises that you can find in You are expected to complete at least one third of the problems in this list. Some of these problems could appear in the quizzes, tests and the final exam.


This is an approximate schedule of the course containing the syllabus:
Wed 1/14Introduction. 1.1 Some Basic Mathematical Models; Direction Fields
Fri 1/161.2 Solutions of Some Differential Equations; 1.3 Classification of Differential Equations
Wed 1/212.1 Linear Equations; Method of Integrating Factors
Fri 1/232.2 Separable Equations
Mon 1/262.3 Modeling with First Order Equations
Wed 1/282.4 Differences Between Linear and Nonlinear Equations
Fri 1/302.4 Differences Between Linear and Nonlinear Equations
Mon 2/22.5 Autonomous Equations and Population Dynamics
Wed 2/42.6 Exact Equations and Integrating Factors
Fri 2/62.6 Exact Equations and Integrating Factors
Mon 2/92.7 Numerical Approximations: Euler’s Method
Wed 2/113.1 Homogeneous Equations with Constant Coefficients
Fri 2/133.1 Homogeneous Equations with Constant Coefficients
Mon 2/16Review Test 1
Wed 2/18TEST 1
Fri 2/203.2 Solutions of Linear Homogeneous Equations; the Wronskian
Mon 2/233.2 Solutions of Linear Homogeneous Equations; the Wronskian
Wed 2/253.3 Complex Roots of the Characteristic Equation
Fri 2/273.4 Repeated Roots; Reduction of Order
Mon 3/23.5 Nonhomogeneous Equations; Method of Undetermined Coefficients
Wed 3/43.6 Variation of Parameters
Fri 3/63.6 Variation of Parameters
Mon 3/93.7 Mechanical and Electrical Vibrations
Wed 3/113.8 Forced Vibrations
Fri 3/133.8 Forced Vibrations
Mon 3/236.1 Definition of the Laplace Transform
Wed 3/256.2 Solution of Initial Value Problems
Fri 3/276.2 Solution of Initial Value Problems
Mon 3/30Review Test 2
Wed 4/1TEST 2
Fri 4/36.3 Step Functions
Mon 4/66.3 Step Functions
Wed 4/86.4 Differential Equations with Discontinuous Forcing Functions
Fri 4/106.4 Differential Equations with Discontinuous Forcing Functions
Mon 4/136.5 Impulse Functions
Wed 4/156.6 The Convolution Integral
Fri 4/176.6 The Convolution Integral
Mon 4/205.1 Review of Power Series
Wed 4/225.1 Review of Power Series
Fri 4/245.2 Series Solutions Near an Ordinary Point, Part I
Mon 4/275.3 Series Solutions Near an Ordinary Point, Part II
Wed 4/295.3 Series Solutions Near an Ordinary Point, Part II
Fri 5/1Review Final
Wed 5/6FINAL EXAM 1:00-3:00 P.M.

Additional Resources

The university and the department of mathematics offer tutoring without appointment at The Mathskeller . The Study also offers peer tutoring.

Calculators Policy

Students may use a graphing calculator on exams but may not use any electronic device with the ability to do symbolic computations such as the TI-89, TI-92, HP48 or a computer.

Code of Conduct

Students should consult the students rights and responsibilities outlined in the Student Code of Conduct. Any offense to the Code of Conduct will result in a grade of "E" for the course and a referral to the Dean of Students.

Excused Absences

University Senate Rule defines the following acceptable reasons for an ”excused absence” from class: Students should notify the instructor of an excused absence prior to the absence whenever possible and complete all work prior to the absence (unless for illness or for the illness or death of a family member).

Students with Disabilities

Students with documented physical‚ learning‚ or temporary disabilities may receive assistance and support from the Disability Resource Center. It is recommended that students contact the Disability Resource Center early to request specific assistance so that the required medical or psychological documentation can be reviewed and reasonable accommodations can be provided from the beginning of class work in order to achieve the greatest benefit to the student.

Changes to this Syllabus

This syllabus can have some changes during the semester. It is responsibility of the students to visit frequently the webpage of the course for up to date information.