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Available courses

Numerical analysis

Description of the course

Numerical analysis is a branch of mathematics that deals with the development and application of methods for solving mathematical problems numerically, typically using computers. 

 Learning Outcomes

1. Understand numerical methods for solving equations and systems of equations
2. Apply numerical techniques for interpolation, differentiation, and integration
3. Analyze the accuracy and stability of numerical methods
4. Implement numerical algorithms using computational tools

Core Units
1. Root Finding Methods: Bisection, Newton-Raphson, Secant methods
2. Interpolation and Approximation: Polynomial interpolation, Splines
3. Numerical Differentiation and Integration: Finite differences, Quadrature rules
4. Solving ODEs: Euler's, Runge-Kutta methods
5. Systems of Equations: Gaussian elimination, Iterative methods

Sample Interactive Activities:
1. Simulation: Use Python to solve a nonlinear equation using Newton-Raphson
2. Group Project: Compare numerical integration methods for a real-world problem
3.Quiz: Identify the most suitable numerical method for a given problem 💡

CALCULUS

Course Description: Dive into the world of calculus and unlock the secrets of change and accumulation. Explore limits, derivatives, integrals, and their applications.

Learning Outcomes:

1. Understand limits and continuity

2. Apply differentiation rules

3. Use derivatives to solve optimization problems

4. Evaluate definite and indefinite integrals

5. Apply integration techniques to solve problems

Core Units:

1. Limits and Continuity: Understand limits, continuity, and basic theorems.

2. Differentiation: Learn rules, techniques, and applications of derivatives.

3. Applications of Derivatives: Solve optimization, related rates, and more.

4. Integration: Evaluate definite and indefinite integrals.

5. Applications of Integrals: Areas, volumes, and real-world applications.

Sample Interactive Activities:

1.Limit Game: Guess the limit value as x approaches a point

2. Derivative Matching: Match functions with their derivatives

3. Optimization Challenge: Solve real-world optimization problems in groups

4. Integral Scavenger Hunt: Find and solve integrals hidden around the "room"

Calculus

 Course Description:

 Dive into the world of calculus and unlock the secrets of change and accumulation. Explore limits, derivatives, integrals, and their applications.

Learning Outcomes:

1. Understand limits and continuity

2. Apply differentiation rules

3. Use derivatives to solve optimization problems

4. Evaluate definite and indefinite integrals

5. Apply integration techniques to solve problems

Core Units:

1. Limits and Continuity: Understand limits, continuity, and basic theorems.

2. Differentiation: Learn rules, techniques, and applications of derivatives.

3. Applications of Derivatives: Solve optimization, related rates, and more.

4. Integration: Evaluate definite and indefinite integrals.

5. Applications of Integrals: Areas, volumes, and real-world applications.

Sample Interactive Activities:

1. Limit Game: Guess the limit value as x approaches a point

2. Derivative Matching: Match functions with their derivatives

3. Optimization Challenge: Solve real-world optimization problems in groups

4. Integral Scavenger Hunt: Find and solve integrals hidden around the "room"