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. Twoweek 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: Kipp Shearman (kipp.shearman at oregonstate.edu)
Math Camp was designed by 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 mathematicsspecific course earlier in their undergraduate career. The aim of the course is to reinforce the foundation of mathematical tools required for graduatelevel 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 twohour 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: Derivatives, Composite Functions, Chain Rule, Implicit Differentiation, Higher Order Derivatives

Univariate Calculus Part 2: Taylor Series and Finite Difference Methods

Univariate Calculus Part 3: Integrals, Integration by Substitution, Integration by Parts, Numerical Approximations

Univariate Calculus Part 4: Intro to Differential Equations, Exponential Functions, Complex Exponential Functions, Hyperbolic Functions.

Univariate Calculus Part 5: Natural Logarithms, Logarithms to Other Bases

Exponential and Trigonometric Solutions to ODEs

Multivariate Calculus Part 1: Intro to Partial Differential Equations (PDEs), Solutions of PDEs by Partial Integration

Multivariate Calculus Part 2: Solutions of PDEs by Separation of Variables, Fourier Series Solutions to PDEs, The Gibbs Phenomenon

Linear Algebra Part 1: Vectors, Matrices, and Regression Analysis

Linear Algebra Part 2: Eigenvalue Problems

Statistics: Complexity in Nature, Statistics in Data Analysis and Theory, Probability Density Functions (PDFs), Linear Regression

Vector Calculus: The Gradient, Divergence, Curl, The Laplacian

Time Series Analysis: Univariate Analysis in the Time Domain

Time Series Analysis: Univariate Analysis in the Frequency Domain

Time Series Analysis: Multivariate Analysis in the Time Domain

Time Series Analysis: 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 (not the actual syllabus for this term)
Facilities associated with the camp