Numerical Methods - Advanced Calculus
44
9 hrs
$ 8.58
MTH 201: Mathematical Methods IComprehensive treatise of advanced calculus covering limits, continuity and differentiability, infinite sequences and series, partial differentiation, numerical methods and ordinary differential equations.
Curated for second-year students of engineering and physical sciences at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.
Comprehensive treatise of advanced calculus covering limits, continuity and differentiability, infinite sequences and series, partial differentiation, numerical methods and ordinary differential equations. Curated for second-year students of engineering and physical sciences at Obafemi Awolowo University, Ile-Ife, Nigeria. Students and professionals with similar learning goal will also find this learning track useful.
MAT 241: Ordinary Differential EquationsComprehensive treatise of advanced calculus covering ordinary differential equations, finite differences, difference equations and numerical integration.
Curated for second-year students of engineering and physical sciences at University of Ibadan, Nigeria. Students and professionals with a similar learning goal will also find this learning track useful.
Comprehensive treatise of advanced calculus covering ordinary differential equations, finite differences, difference equations and numerical integration. Curated for second-year students of engineering and physical sciences at University of Ibadan, Nigeria. Students and professionals with a similar learning goal will also find this learning track useful.
Course Chapters
1Introduction
2Equations in One Variable (1)
Introduction, existence of solutions, and bisection method of numerical solutions of equations in one variable.
Chapter lessons
1.Introduction10:11
4.Worked examples (1)42:06
Worked examples on the bisection method of solution of equations in one variable.
5.Worked examples (2)29:32
More worked examples on the bisection method of solution of equations in one variable.
6.Overview of the bisection method7:11
Advantages and disadvantages of the bisection method of solution of equations in one variable.
3Equations in One Variable (2)
Numerical solutions of equations in one variable - Newton-Raphson's iterative method.
Chapter lessons
1.Newton's method28:57
Newton's method of solution of equations in one variable.
2.Worked examples (1)26:46
More worked examples on Newton's method of solution of equations in one variable.
3.Worked examples (2)39:48
More worked examples on Newton's method of solution of equations in one variable.
4.Worked examples (3)26:02
More worked examples on Newton's method of solution of equations in one variable.
5.Overview of Newton's method6:17
Advantages and disadvantages of Newton's method solution of equations in one variable.
4Integration (1)
Introduction to numerical integration of single-variable functions. Trapezoidal rule.
Chapter lessons
1.Introduction17:23
An overview of the theory of numerical integration methods.
2.Trapezoidal rule9:48
Integration by the trapezoidal rule.
3.Worked examples (1)34:17
Worked examples on integration by the trapezoidal rule.
5Integration (2)
Simpson's 1/3 rule of numerical integration of single-variable functions.
Chapter lessons
1.Simpson's rule6:50
Integration by Simpson's 1/3 rule.
2.Worked examples (1)32:12
Worked examples on integration by Simpson's 1/3 rule.
3.Worked examples (2)18:35
More worked examples on numerical integration.
4.Worked examples (3)15:48
More worked examples on numerical integration.