Math 213

with ODE's

**Course:** Math 213, Spring 2017

**Time & Place:**

- Section A: TR 11:50 am – 1:10 pm (RKC 102)
- Section B: TR 3:10 pm – 4:30 pm (RKC 102)

**Instructor:** Jim Belk (belk@bard.edu)

**Course Tutors:**

- Alexis Zheng (hz1459@bard.edu)
- Marysia Tran (tt7210@bard.edu)

**Math Study Room:** Sun–Thurs, 7–10 pm (RKC 111)

- 2 pm – 4 pm (3rd floor Albee)
- 7 pm – 9 pm (RKC 100)

- 10:00 am – 11:45 am:
**RKC 200** - 11:45 am – 6:00 pm:
**RKC 102**

- • 1/3 of the final will be on lines and planes, flats, subspaces, and linear dependence.
- • 1/3 of the final will be on linear systems and row reduction.
- • 1/3 of the final will be on matrices, linear transformations, eigenvectors, and eigenvalues.

- • You may bring a 3"×5" index card to the final with notes on the front and back.
- • You must bring a
to the final.__calculator__

**Homework: Matrices**(with notes on Matrices, Linear Transformations, and Eigenvectors and Eigenvalues)**Homework: Row Reduction**(with notes on Linear Systems, Row Reducton, No Solutions, and Infinitely Many Solutions)**Homework: Subspaces**(with notes on Subspaces and Linear Dependence)**Homework 9**(with notes on Lines, Geometry of Lines, and Planes and Flats)**Homework 8**(with notes on Higher Dimensions and Planes and Hyperplanes)**Homework 7**(with notes on Projections and Components, Determinants, and Cross Products)**Homework 6**(with notes on Three-Dimensional Space and Dot Product)**Homework 5**(with notes on Vectors, Vector Components, and Vector Geometry)

- • You must bring a
**calculator**to the exam. - • You may also bring a 3”×5” index card with notes on the front and back.

- Office Hours: Wednesday 7–9 pm (RKC 100)
- Office Hours: Thursday 7–9 pm (RKC 100)

- Sunday 2–4 pm (3rd floor Albee)
- Monday 11:40 am–1:30 pm (3rd floor Albee)

- Notes: Introduction to Algebraic Methods
- Notes: Integrating Both Sides
- Notes: Separation of Variables
- Notes: Integrating Factors

- • The quiz will cover all of the material from last week, including exponential growth, exponential decay, oscillation, and applications of these.
- • You should bring a calculator to the quiz. (A scientific calculator app on your phone should suffice, as long as it has trigonometric functions, logarithms, and so forth.)
- • The quiz will be slightly longer than usual (30 min. or so), and will count 50% more than a typical quiz.

- Notes: Introduction to Growth, Decay, and Oscillation
- Notes: Exponential Growth
- Notes: Exponential Decay
- Notes: Oscillation
- Notes: Models of Oscillation

- Notes: Introduction to Differential Equations
- Notes: Integrable Equations
- Notes: Finding Solutions
- Notes: Initial Value Problems
- Notes: Second Order Equations

- YouTube: Chain Rule for Finding Derivatives
- YouTube: The Product Rule for Derivatives
- YouTube: Integration by Parts
- YouTube: Integration by U-Substitution

In addition to the homework, there will be a short quiz every Tuesday, with questions on the material from the previous week.

Quizzes | 40% |

Midterm Exam | 30% |

Final Exam | 30% |

The midterm exam is two hours long, and will be offered on **Friday, March 31**. The final exam is two hours long, and will be on **Tuesday, May 23** (the last day of classes).