Thursday 1/8 1 * syllabus, Introduction * preview reading assgt., chapter 1 (modeling) * HW review chapters 1, 2, & 3
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1 Topics and Syllabus Class # Text Reading I. NUMERICAL ANALYSIS CHAPRA AND CANALE A. INTRODUCTION AND MATLAB REVIEW :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 1:::::::::::::::::::::::: 1. Mathematical modeling Chapter MATLAB review Chapter 2 :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 2:::::::::::::::::::::::: 3. MATLAB review Chapter 3 B. ROOTS OF EQUATIONS (MODULE 1) 1. Bisection and False Position methods Sections Newton s method Sections :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 3:::::::::::::::::::::::: 3. MATLAB Routines Section 6.4 C. MATRIX APPLICATIONS (MODULE 2) 1. Introduction, Linear equation systems, Matrices Section 8.1 :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 4:::::::::::::::::::::::: 2. Matrix addition and multiplication Section Solving linear equation systems Section 8.2 a) Cramer s Rule for small systems Section 9.1 :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 5:::::::::::::::::::::::: b) Gauss Elimination Sections c) Gauss Seidel method Section 12.1 d) MATLAB methods :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 6:::::::::::::::::::::::: D. EXAM #1 1. Review 2. Exam E. CURVE FITTING (MODULE 3) 1. Least Squares Regression Sections :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 7:::::::::::::::::::::::: 2. Interpolation a) Introduction Section 16.1 b) Splines Sections MATLAB Routines Secton 16.5 :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 8:::::::::::::::::::::::: F. FINITE DIFFERENCES (MODULE 4) 1. Numerical integration a) Trapezoid Rule Sections b) MATLAB Routine :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 9:::::::::::::::::::::::: 2. Taylor s series, Finite difference approximation Sections G. ORDINARY DIFFERENTIAL EQ NS (MODULE 5) 1. Euler method Sections Improvement of Euler method Section 20.3 :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 10:::::::::::::::::::::::: 3. Runge-Kutta method Sections Initial Value Problems using MATLAB 5. Boundary value problems a) Shooting method Sections :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 11:::::::::::::::::::::::: b) Finite Differences using EXCEL Sections 22.3 H. EXAM #2 1. Review 2. Exam
2 Topics and Syllabus Class # Text Reading :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 12:::::::::::::::::::::::: II. STATISTICS (MODULE 6) BLUMAN A. PROBABILITY DISTRIBUTIONS 1. Sections B. NORMAL DISTRIBUTION 1. Sections :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 13:::::::::::::::::::::::: 2. Sections C. Confidence INTERVALS CHAP 8 III. ENGINEERING ECONOMICS (MODULE 7) BLANK A. FOUNDATIONS OF ENGINEERING ECONOMY 1. Interest and Equivalence :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 14:::::::::::::::::::::::: 2. Symbols, Cash Flow, Spread Sheet Analysis , App A B. FACTORS: TIME AND INTEREST 1. Present Worth Gradient Factors C. PRESENT WORTH ANALYSIS :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 15:::::::::::::::::::::::: 1. Present and Future Worth :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 16:::::::::::::::::::::::: 2. Spread Sheet Applications D. REVIEW FINAL :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Week 17:::::::::::::::::::::::: E. FINAL Monday 4 May, 11:30 2:00 PM
3 Day of the week Date Day # comments Thursday 1/8 1 * syllabus, Introduction * preview reading assgt., chapter 1 (modeling) * HW review chapters 1, 2, & 3 Tuesday 1/13 2 * bisection method * HW: read Sections , * problems: problem set #1 (See assigned problems ; due Tuesday 1/20) Thursday 1/15 3 * review bisection and false position methods * pop quiz * Newton s method * secant method * HW: read Tuesday 1/20 4 * problem set # 1 due * pop quiz * review Newton s method * review secant method * fzero * matrix-based problems * HW: read Thursday 1/22 5 * reviewed HW # 1 * Cramer s rule * HW: read * problems: problem set #2 assigned (See assigned problems ; due Thursday 1/29) Tuesday 1/27 6 * Gauss Elimination Method * MATLAB function, roots, (better late than never) * HW: read 12.1 Thursday 1/29 7 * review HW # 2 * Gauss-Seidel method * problems: problem set #3 assigned (See assigned problems ; due Thursday 2/5) Tuesday 2/3 8 * Using MATLAB to invert A * Example * Begin least squares regression * Announcement: Exam # 1 Tuesday 2/10 Thursday 2/5 9 * review for exam # 1 Tuesday 2/10 10 * EXAM # 1 Thursday 2/12 11 * review Exam #1 * least squares regression * linearization * HW: read 13.3, Tuesday 2/17 12 * splines * problems: problem set #4 assigned (See assigned problems ; due Tuesday 2/24) * HW: read Thursday 2/19 13 * Trapezoid rule for numerical integration * MATLAB methods for numerical integration * Finite difference approximation * HW: read , read
4 Tuesday 2/24 14 * Finite difference approximation * Euler s (pronounced oiler s ) method * problems: problem set #5 assigned (See assigned problems ; due Tuesday 03/03) * HW: read 20.3 Thursday 2/26 15 * Heun s method * Runge-Kutta method * HW: read 20.4 Tuesday 3/3 16 * Heun s method * Runge-Kutta method * problems: problem set #6 assigned (See assigned problems ; due Tuesday 03/10) * HW: read Thursday 3/5 17 * systems of ode s * higher order ode s * HW: read Tuesday 3/10 18 * initial value problems, higher order and multi-variate * shooting method for BVP s * problems: problem set #7 assigned (See assigned problems ; due Tuesday 03/24 or earlier) * read: 22.3 Thursday 3/12 19 * finite difference method SPRING BREAK 3/14 3/22 Tuesday 3/24 20 * HW set # 7 due * review for exam #2 Thursday 3/26 21 * Exam # 2 Tuesday 3/31 22 * review exam 2 * read (Bluman) Thursday 4/2 23 * probability distributions * read * problems: set # 8 (See assigned problems, due Thursday 4/9) Tuesday 4/7 24 * normal distributions * HW: read chapter Thursday 4/9 25 * confidence intervals (cont d) * problems: set # 9 (See assigned problems, due Thursday 4/16) Tuesday 4/14 26 * confidence intervals (cont d) * in-class examples * HW: read: chapter 1 (Blank & Tarquin) Thursday 4/16 27 * Engrg. Econ. Interest and Equivalence * Symbols, Cash Flow, Spread Sheet Analysis * HW: read * problems: set # 10 (See assigned problems, due Tuesday 4/28)
5 Tuesday 4/21 28 * Present Worth * HW: read * example problems: 2.1, 2.2, 2.21, 2.35, 2.45, 2.50, 2.55 * problems: 2.18, 2.22, 2.34, 2.42, 2.48, 2.54 Thursday 4/23 29 * Gradient Factors * HW: read * problems: 5.6, , 5.26, 5.28, 5.34 Tuesday 4/28 30 * Present and Future Worth & Spread Sheet Applications Thursday 4/30 31 * review
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