Course Summary: Introduction to Calculus
Course Description:
This course provides an introduction to the fundamental concepts of calculus, focusing on limits, derivatives, and integrals. Trainees will explore the principles that underpin continuous change and learn to apply calculus to solve real-world problems.
Learning Outcomes:
By the end of the course, trainees will be able to:
1. Understand Limits:
- Grasp the concept of limits and their significance in calculus.
2. Differentiate Functions: - Compute derivatives of various functions and interpret their meaning in terms of rates of change and slopes of tangents.
3. Integrate Functions: - Perform integration to find areas under curves and solve problems involving accumulation.
4. Apply Calculus Concepts: - Use calculus in practical applications, including physics, engineering, and economics.
5. Solve Real-World Problems: - Model and analyze real-life scenarios using calculus techniques.
CORE TOPICS:
1. Understand Limits
2. Differentiate Functions
3. Integrate Functions
4. Apply Calculus Concepts Interactive Activities:
Activity:
Use an interactive graphing tool (e.g., Desmos) to visually explore limits. Trainee can manipulate the graph of a function to see how it approaches a limit as x approaches a specific value.
Objective: Understand the concept of limits through visual representation.
Conclusion: This introductory calculus course equips trainees with essential skills and knowledge to tackle complex problems in various fields. Through interactive activities, students will engage with the material and develop a deeper understanding of calculus concepts.
- Teacher: Admin User