BAS 112: Numerical Analysis

 BAS 112: Numerical Analysis 

SPRING 2025

Instructor:	Dr. Ahmed Farghal, Ph.D. Office:  E-mail: ahmedfarghal7080@gmail.com Facebook: Click here Scheduled Office Hours: TBD. Office Hours: I have an open door policy. Walk in my office every time you want and I will interrupt whatever I am doing.              In case you feel better having an appointment, arrange for one.  Two important rules to talk to me: Make sure you thought about the problem and have some analysis to offer together with your question Make sure you can explain you problem or make the question in one-two sentences.
Course Organization:	Lecture: Thursdays, 09:00 am – 11:00 am, @ Lecture Theater  C. 2 hours of tutorial per week Teaching Assistant: Eng.
Midterm Exam:	TBD.
Final Exam:	TBD.

Required Textbook:

Steven Chapra, Raymond Canale (2015), Numerical Methods for Engineers, 7th Edition, McGraw-Hill, New York.

 

Optional Reading:

Course Topics:

• Number Representation
• Taylor Theorem
• Solution of nonlinear Equations
• Solution of linear Equations
• Curve fitting
• Least Squares
• Interpolation
• Numerical Differentiation
• Numerical Integration
• Solution of ordinary differential equations
• Solution of Partial differential equations

   

Handouts: Summer 2025

The handouts are available as Adobe PDF files through the links below.

• Lecture 1: Introduction to Numerical Methods.
  
• Lecture 2: Number Representation and Taylor's Theorem.
• Lecture 3: Numerical Differentiation. (Video 1) (Video 2)
• Lecture 4: Numerical Integration. (Video1) (Video2)
• Lecture 5: Roots of Equations. (Video1) (Video2)
• Lecture 6: Solution of Linear Equations I. (Video1)(Video2)
• Lecture 7: Solution of Linear Equations II. (Video1) (Video2) (Video3)
• Lecture 8:  Solution of Ordinary Differential Equations. (Video 1) (Video 2)
• Lecture 9:  Least Squares Curve Fitting. (Video 1) (Video 2)

Handouts: Spring 2025 (old material)

The handouts are available as Adobe PDF files through the links below.   

• Lecture 1: Introduction to Numerical Methods.
  
• Lecture 2: Number Representation and Taylor Theorem.
• Lecture 3: Numerical Differentiation.
• Lecture 4: Numerical Integration.
• Lecture 5: Roots of Equations.
• Lecture 6: Solution of Linear Equations I.
• Lecture 7: Solution of Linear Equations II. (Video1) (Video2) (Video3)
• Lecture 8:  Solution of Ordinary Differential Equations. (Video 1) (Video 2)
• Lecture 9:  Least Squares Curve Fitting. (Video 1) (Video 2)

Problem Sets

Steven Chapra, Raymond Canale (2014), Numerical Methods for Engineers, 7th Edition, McGraw-Hill, New York.

• Problem set #1 - 1.2, 1.4, 1.5, 1.7, 3.6
• Problem set #2 - 4.1, 4.2, 4.5, 4.6
• Problem set #3 - 4.7, 4.11, 4.13, 23.1, 23.3, 23.4, 23.6, 23.8
• Problem set #4 - 21.1 (except f), 21.2 (except f), 21.3 (except e and f), 21.4, 21.6, 21.10, 21.11
• Problem set #6 - 9.5, 9.7, 9.8, 9.9, 9.11

Useful Links

        

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