Topics Covered:
- Functions
- Limits and Continuity
- Derivatives
- Implicit Differentiation
- Related Rates
- Maxima and Minima
- Introduction to Definite Integrals
By the end of the course, students should:
- Evaluate behaviors and graphs of functions
- Define and evaluate limits
- Find derivatives of various function types
- Evaluate definite and indefinite integrals
- Apply calculus tools to a variety of problems
- Develop problem-solving skills
- Read, write, speak, and think in the language of mathematics
Applications of calculus:
- Engineering: Used in structural analysis and design.
- Medicine: Applied in patient diagnosis, epidemiology, and research.
- Business: Used in economics and finance.
- Music: Applied in harmonics and acoustics.
- Research Analytics: Used in manufacturing and data analysis.
- Meteorology: Used in weather pattern analysis.
- Physics: Crucial for solving problems where variables are continuously changing.
- Other Fields: Used in computer vision, robotics, demographics, architecture, aviation, and more.
- Teacher: Lisa Gitau