Calculus, Part II with probability and matrices. (4h. 1 c.u.)
Functions of several variables, partial derivatives, multiple integrals, differential equations; introduction to linear algebra and matrices with applications to linear programming and Markov processes. Elements of probability and statistics. Applications to social and biological sciences. Use of symbolic manipulation and graphics software in Calculus.
Note: This course uses Maple
Texts:
[C] Thomas/Finney, Calculus, 9th (or Alternate) Edition
[P] DeGroot/Schervish Probability and Statistics, 3rd ed.
[F] Lial, Greenwell, Ritchey Finite Mathematics, 7th ed.
Maple/Calculus Lab Manual for Math 103/104/114/115
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Chapter 12 [C] Multivariable Functions 12.1 – 5,8,13,14,15,16,17,18,19,25,45 12.2 – 11,13,16,35 12.3 – 5,19,30,47,57,63,65 12.4 – 5,11,20,23,24,34a 12.5 – 3,8,17,40,41 12.7 – 2,3,17,18,27,31,43,55 12.8 – 6,11,17,29,36,39,42,53 12.9 – 5,14,21,23,32,46 Chapter 13 [C] Multiple Integrals 13.1 – 5,8,15,21,23,26,29,33,45,53,54,68 Chapter 1 [P] Introduction to Probability 1.5 – 7,8 1.6 – 1-4 1.7 – 1,3,4,5,7,8 1.8 – 2,3,4,7,17,18 1.9 – 1,3,6,8 1.10 – 1,4,5,6,9 Chapter 2 [P] Conditional Probability 2.1 – 6,9,10 2.2 – 7,8,9,10,12,16,19 2.3 – 1,2,10,11,12 |
Chapter 3 [P] Random Variables 3.1 – 2,3,4,8 3.2 – 2-8 3.3 – 3-8 Chapter 4 [P] Expectation 4.1 – 1,2,4,5,9 4.2 – 6,7,8,10 4.3 – 1,2,3,6,7,9 Chapter 5 [P] Special Distributions 5.2 – 3-7,10 5.4 – 2,3,6 5.6 – 3,7,9,10 5.9 – 8,9,13,14 Chapter 1 [L] Least squares fit 1.3 – 8,10,11,17 Chapter 2 [L] Linear Equations and Matrices 2.1 – 23,25,29 2.2 – 17,24,27,28,33,39,40 2.3 – 27,29 2.4 – 15,24,30,31 2.5 – 11,13,15,17,19,22,23 2.6 – 1,5,17 Chapter 2 [P] Markov Chains 2.4 – 2,3,11,12, Also find limiting distributions Chapter 3 [F] Linear Programming I 3.1 – 21,23,25,29 3.2 – 7,9,13 3.3 – 17,21 Chapter 4 [F] Linear Programming II 4.1 – 5,7,21 4.2 – 7,9 4.3 – 5,7,13 |
SAMPLE EXAM QUESTIONS also form a part of the core.
The core problems indicate the kind of basic problems you will need to be able to solve by hand. They also provide a guide to the basic level of difficulty to be expected on the final exam.
Note: All sections of Math 115 have a COMMON FINAL EXAM