| WEEK | TOPICS | CHAPTER, REFERENCES |
| 1-2 | Overview, Intro to Matlab, Vectors & Matrices - MATLAB Built-in Functions: norm, svd |
App , chap2 matfun2.pdf OPS_DOT.pdf lang2.pdf MatrixMult-Analysis.pdf |
| 3-4 | Methods of Solving Nonlinear Equations: - Bisection - Newton's - Secant method - MATLAB Built-in Functions: fzero, roots - System of Nonlinear Equations |
chap3 Due HW1 funfun2.pdf polyfun2.pdf Secant method |
| 5 | Methods of Solving a System of Linear Equations: - Gauss Elimination - Gauss Elimination with Pivoting - Gauss-Jordan |
chap4 elmat2.pdf matfun2.pdf Gauss Elimination Procedure.pdf |
| 6 | ********** EXAM # 1 (by Hand/Calculator) ********** | Due HW2 |
| 7-8 | Continuation of Linear Systems: - LU Decomposition - Inverse of a Matrix - MATLAB Built-in Functions: x=a\b, x=b/a, inv, lu, eig, qr |
chap4 elmat2.pdf matfun2.pdf linOK.pdf linFAIL.pdf Summary of Solving System of Linear Equations.pdf |
| 9-10 | Curve Fitting and Interpolation: - Fitting with Least Squares Regression - Fitting with Nonlinear Equation - MATLAB Built-in Functions: polyfit, interp1 |
chap5 polyfun2.pdf Sample_polyfit.m.pdf Combine graphs of Data & Polynomial Fitted result Curve Fitting to a 4th degree Polynomial.pdf Fitting any n-th degree Polynomial to Nonlinearly space X Fit with Combination of Nonlinear Functions.pdf INTERPOLATION: (Standard, Lagrange, Newton) PIECEWISE (SPLINE) INTERPOLATION: (Linear, Quadratic & Cubic Splines) |
| 11 | Numerical Differentiation: - Finite Difference Approximation - Summary of Finite Difference Formulas - MATLAB Built-in Functions: diff, polyder |
chap6 symbolic_2.pdf CONCEPT: Doing CALCULUS on CAS, is it reliable? FirstDerivative.pdf SecondDerivative.pdf ThirdDerivative.pdf FourthDerivative.pdf |
| 12 | ********** EXAM # 2 (by Hand/Calculator) ********** | Due HW3 |
| 13-14 | Numerical Integration: - Rectangular and Midpoints - Trapezoidal - Simpson - Gauss Quadrature - MATLAB Built-in Functions: quad, quadl, trapz, dblquad |
chap7 funfun2.pdf Figure7-1.pdf Figure7-4.pdf Figure7-6.pdf Figure7-8_9.pdf Figure7-10.pdf Figure7-11.pdf Figure7-12.pdf Figure7-13.pdf CONCEPT: Doing CALCULUS on CAS, is it reliable? P7_4a(Simpson's 1/3 method.pdf) Composite Trapezoidal Method.pdf |
| 15 | Review for Finals | chap2 to 7 |
| 16 | ********** FINAL EXAM (by Hand/Calculator)********** | Due HW4 |
Computer Homework Report
Everyone must submit their own written Computer Homework Report for each assign homework. And it must adhere to the style guide practice at the college. Click the hypertext to see the various components of the report.
Grades Policy on Incomplete Work:
All works must be completed by the end of semester. In an exceptional case only will an incomplete will be issued, in such case we will follow the rules set forth in the current publication of the College Catalog on Incomplte Grades. Please click the hypertext for detail.
Grading
Course grade is based on the following distribution:
Attendance - 10% (exam day don't count) (total not to exceed 10%).
Exam #1 - 15%
Exam #2 - 15%
Final - 20%
Lab Projects - 40% (10% per HW)
Missed Exam
Due to unforeseen situation one may fail to take an exam. Ordinarilly make-up is held some later time. We believe this practice is unfair to those who took the test on time. So we will institute a no make-up policy. In this case, the final exam score will be raised to include the weight assign to the exam. As a reminder, final exam is much more difficult, they are comprehensive and covers all the materials in the course. FINAL EXAM MUST BE TAKEN AS SCHEDULED. NO MAKE-UP.
Late Computer Homeworks
Everyone is encouraged to do as many problems as possible from each chapters. Some of these will appear in the exam with minor changes. Points will be deducted on late Computer Homeworks.