Calculus 101: Building a Strong Mathematical Foundation

 

Gellir astudio ‘Calculus 101: Building a Strong Mathematical Foundation ' fel cwrs annibynnol ym Mhrifysgol Aberystwyth.  

Ffeithiau Allweddol 

 

Iaith: Saesneg

Hyd: 10 Wythnos

Nifer y Credydau: 10

Tiwtor: Harshita Gandhi

Dull Dysgu: Wyneb-yn-wyneb  

Lefel: Mae'r modiwl hwn ar Lefel 4 FfCChC  

Cod y Modiwl: XK10810

Ffi: £140.00 - Cynllun Hepgor Ffioedd

Nid oes modd cadw lle ar y cwrs hwn ar hyn o bryd

Byddwch y cyntaf i gael gwybod pan gyhoeddir dyddiadau newydd trwy ymuno â’n rhestr bostio.

 

Overview

This course offers a thorough introduction to calculus, tailored for A Level and first-year undergraduate students. It covers essential topics such as limits, differentiation, and integration, along with their practical applications in science and engineering. Through real-world examples and interactive exercises, students will sharpen their problem solving abilities and develop a strong mathematical intuition. Designed to lay a solid groundwork for more advanced studies, this course also equips learners with valuable skills for various scientific and engineering fields.

Programme

This course introduces the fundamental concepts of calculus. It begins with the development of the limit concept, leading to two key results: (i) the derivative and (ii) the definite integral. Differentiation rules are derived from first principles, and the fundamental theorem of calculus is used to establish corresponding integration rules. These techniques are then applied to solve problems involving differentiation and integration, highlighting their practical applications.

  • Limits and Continuity
  • Differentiation
  • Integration

Learning Outcomes

On completion of this module, students should be able to:  

  1. Sketch the graphs of simple functions.
  2. Calculate the limits of real valued functions.
  3. Determine whether given functions are continuous or not.
  4. Explain the idea of derivative and compute derivatives from first principles.
  5. Compute the derivative of functions.
  6. Compute integrals by method of substitution and integration by parts.
  7. Compute integrals of trigonometric functions.

Assessments

  1. Written Assignment demonstrating an understanding of
    key calculus concepts and applying differentiation rules in problem solving - 30%
  2. Written Assignment to apply integration rules in problem-solving -30%
  3. Test to confirm skills learnt and application of calculus - 40%

Reading Suggestions

Reading suggestions will be offered throughout the course. 

Entry Requirements

This course is for everyone. No previous experience is needed and there are no formal entry requirements.

What Do I Need?

As this is an online course, you would need the following:

  • Internet access
    • Access to a laptop or computer with a web camera and microphone; the use of headphones might also be of benefit
    • Use of the Chrome web-browser where possible.