# Introduction to Numerical Analysis: Approximation and Nonlinear Equations Math 170B --- Spring 2019

The final grade will be composed by the best of the following two options: (a) 20% homework, 20% midterm, and 60% final exam. (b) 20% homework, 80% final exam.

Your course grade will be determined by your cumulative average at the end of the quarter, based on the following scale:

 A+ A A- B+ B B- C+ C C- 100 - 96.66 96.65 - 93.33 93.32 - 90.00 89.99 - 86.66 86.65 - 83.33 83.32 - 80.00 79.99 - 76.66 76.65 - 73.33 73.32 - 70

The above scale is guaranteed: for example, if your cumulative average is at least 73, then your final grade will be at least B. However, your instructor may adjust the above scale to be more generous.

## Course Calendar

Lecture Content
# 1, 1M
07.01.2019.
Basic concepts and Taylor's theorem.
# 2, 1W
09.01.2019.
Basic concepts and Taylor's theorem.
# 3, 1F
11.01.2019.
Basic concepts and Taylor's theorem.
# 4, 2M
14.01.2019.
Orders of Convergence and Additional Basic Concepts.
# 5, 2W
16.01.2019.
Orders of Convergence and Additional Basic Concepts. Implicit Function theorem.
# 6, 2F
18.01.2019.
Implicit Function theorem.
Homework 1 & 2 announced.
# 7, 3M
21.01.2019.
Martin Luther King, Jr. Holiday
# 8, 3W
23.01.2019.
Bisection Method.
# 9, 3F
25.01.2019.
Bisection Method.
#10, 4M
28.01.2019.
Newton's Method
#11, 4W
30.01.2019.
Newton's Method
#12, 4F
01.02.2019.
Secant Method
Homework 1 & 2 collected. Homework 3 & 4 announced.
#13, 5M
04.02.2019.
Polynomial Interpolation
#14, 5W
06.02.2019.
Polynomial Interpolation
#15, 5F
08.02.2019.
Divided Differences
#16, 6M
11.02.2019.
Midterm.
#17, 6W
13.02.2019.
Divided Differences
#18, 6F
15.02.2019.
Hermite Interpolation
Homework 3 & 4 collected. Homework 5 & 6 announced.
#19, 7M
18.02.2019.
Presidents' Day Holiday
#20, 7W
20.02.2019.
Spline Interpolation
#21, 7F
22.02.2019.
Spline Interpolation
#22, 8M
25.02.2019.
Chebychev polynomials Numerical Differentiation and Integration
#23, 8W
27.02.2019.
Numerical Differentiation and Integration
#24, 8F
01.03.2019.
Numerical Differentiation and Integration
Homework 5 & 6 collected. Homework 7 & 8 announced.
#25, 9M
04.03.2019.
Numerical Integration based on Interpolation
#26, 9W
06.03.2019.
Numerical Integration based on Interpolation
#27, 9F
089.03.2019.
Numerical Integration based on Interpolation
Homework 7 & 8 collected. Practice Material for Final available..
#28,10M
11.03.2019.
Numerical Integration based on Interpolation
#29,10W
13.03.2019.
Numerical Integration based on Interpolation
#30,10F
15.03.2019.
Numerical Integration based on Interpolation
FI
16.03.2019.
Final Exam. 8am - 11am. Place to be announced.