Oregon Coast Math Camp

OC 515, Oregon Coast Math Camp, 3 Credits

Official Course Description

Selected topics from differential calculus, integral calculus, ordinary and partial differential equations, statistics, linear algebra and vector calculus. Two-week course taught at Hatfield Marine Science Center in Newport, Oregon, before fall term begins. 3 credits. Graded P/N

Prerequisites

Courses on differential and integral calculus and linear algebra, or consent of the instructor

Instructor

Andreas Schmitter (andreas.schmittner@oregonstate.edu)

Math Camp

Math Camp was designed by Bill Smyth and Dudley Chelton, who wrote the textbook for the class, as a refresher for incoming graduate students who, in general, may not have been exposed to a mathematics-specific course earlier in their undergraduate career. The aim of the course is to reinforce the foundation of mathematical tools required for graduate-level CEOAS classes, so the content of those classes may focus on science and not spend time reviewing mathematics.

The course is broken down by subject, and apart from a couple of field trips and guest lecturers, there will be 2x two-hour lectures per day and homework for each lecture. Group study and working together on homework is encouraged, however, homework needs to be completed and will be evaluated on an individual basis. Office hours will be available to answer questions.

Course Topics

(subject to change)

  • Geometry and Trigonometry
  •  Univariate Calculus, Part 1: The derivative, the chain rule and implicit differentiation

  •  Univariate Calculus, Part 2: Taylor series and finite difference methods

  • Univariate Calculus, Part 3: Integrals, integration by substitution, integration by parts and introduction to differential equation

  • Univariate Calculus, Part 4: Exponential functions, complex exponential functions and  hyperbolic functions

  • Univariate Calculus, Part 5: The natural logarithm and logarithms to other bases

  • Exponential and trigonometric solutions to ODEs and differential eigenvalue problems

  • Multivariate Calculus, Part 1: Multivariate functions, partial derivatives and introduction to partial differential equations

  • Multivariate Calculus, Part 2: Solutions to PDEs using partial integration, separation of variables and Fourier series

  • Linear Algebra, Part 1: Vectors, matrices and regression analysis

  • Linear Algebra, Part 2: Matrices as transformations, and eigenvalue problems

  • Vector Calculus: The gradient and directional derivative, divergence, curl, the Laplacian and identities of vector calculus

  • Time Series Analysis, Part 1: Univariate analysis in the time domain

  • Time Series Analysis, Part 2: Univariate analysis in the frequency domain

  • Time Series Analysis, Part 3: Multivariate analysis in the time domain

  • Time Series Analysis, Part 4: Multivariate analysis in the frequency domain

A Typical Daily Schedule

  • Morning: hand in previous day’s homework, 1.5- 2 hour math lecture
  • Afternoon: guest lecture, field trip, or second math lecture
  • Evening: homework session for following day’s homework

Sample Syllabus

*Sample* syllabus (not the actual syllabus for this term)

Facilities

Facilities associated with the camp