Multivariable Calculus by Ostebee and Zorn.
Study Guide for Fundamentals of Biostatistics by Rosner.
| Section 1.1 | 3-D space and surface. |
| Section 1.2 | Parametric curves. |
| Section 1.3 - 1.4 | Vectors, vector valued functions. |
| Section 1.5 | Derivatives, anti-derivatives and motion. |
| Sections 1.6 - 1.7 | Dot product, lines and planes |
| Sections 1.7 - 1.8 | Lines, planes and cross product. |
| Appendix C | Introduction to matrices. |
| Sections 2.1 & 1.1 | Functions of several variables. |
| Sections 2.2 - 2.3 | Partial derivatives, contours & linear approximations. |
| Sections 2.3 - 2.4 | Linear approximations and the gradient. |
| Sections 2.5 - 2.6 | Theory of derivatives, high order derivatives & quadratic approx. |
| Section 2.7 | Max-min, critical points and extreme points. |
| Sections 2.7 & 4.4 | More on extreme points, constrained optimization. |
| Section 4.4 | Constrained optimization. |
| Section 2.8 | Multivariable chain rule. |
| Section 3.1 | Multiple integrals. |
| Section 3.2 | Calculating integrals by iteration. |
| Section 3.3 | Integrals in polar coordinates. |
| Section 3.4 | Integrals in spherical and cylindrical coordinates. |
| Rosner Chapter 2 | Descriptive statistics. |
| Rosner Chapter 3 | Beginning probability including addition laws, multiplication laws, conditional probability, total probability, Bayes' theorem. |
| Rosner Chapter 4 | Discrete probability distributions including binomial distributions, Poisson distributions. |
| Rosner Chapter 5 | Continuous probability including density functions, mean and variance, normal distributions, approximation by normal distributions. |
| Handouts | Differential equations. |
There will be approximately three homework assignments during the semester which will
require the use of mathematical software such as Mathematica, Maple, or Matlab.
Midterm Exam 1: Tuesday, February 29, 7:00pm to 8:30pm in Sci
Ctr Hall C
Midterm Exam 2: Tuesday, April 4, 7:00pm to 8:30pm in Sci Ctr
Hall C
Final Exam (tentative): May 25