MATH10400 Calculus (Online)

Academic Year 2022/2023

Calculus (Online) is part of the Professional Certificate in Mathematics and Statistics. In this module, the student will be introduced to fundamental concepts in calculus, including

1. functions, limits and continuity;
2. differentiation, first principles, the product, quotient and chain rules;
3. critical points, local maxima and minima, the Mean Value Theorem, linear approximation, logarithmic and implicit differentiation;
4. calculus of several variables, partial derivatives, critical points;
5. integration, indefinite integrals, Riemann sums and definite integrals, the Fundamental Theorem of Calculus;
6. integration by substitution and integration by parts, and
7. numerical techniques.

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Curricular information is subject to change

Learning Outcomes:

On successful completion of this module, the student is expected to be able to understand the definitions, theorems and examples covered in all of the topics listed above, and carry out associated computations. These include, but are not limited to, evaluating limits; evaluating derivatives of polynomials, trigonometric, exponential and logarithmic functions (and combinations thereof); finding tangent lines; finding and classifying critical points of functions of one or two variables; applying the method of least squares; applying integration by substitution and integration by parts, and using Newton's method and the trapezoidal rule.

Students should also gain an appreciation for how such knowledge and techniques, when combined with creativity and critical thinking, can be used for complex problem solving in a numerate world.

Student Effort Hours: 
Student Effort Type Hours
Specified Learning Activities

24
Autonomous Student Learning

62
Online Learning

24
Total

110
Approaches to Teaching and Learning:
Online notes, videos, written homework and WeBWorK, discussion boards, enquiry and problem-based learning. 
Requirements, Exclusions and Recommendations

Not applicable to this module.


Module Requisites and Incompatibles
Incompatibles:
MATH10030 - Maths for Business, MATH10310 - Calculus for Science, MATH10350 - Calculus (MPS), MST00050 - Mathematics: An introduction, MST10010 - Calculus I


 
Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Examination: Final 2-hour written examination 2 hour End of Trimester Exam No Standard conversion grade scale 40% No

70
Assignment: Homework and WeBWorK Throughout the Trimester n/a Standard conversion grade scale 40% No

30

Carry forward of passed components
No
 
Resit In Terminal Exam
Autumn Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 
Feedback Strategy/Strategies

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Not yet recorded.

Name Role
Dr Daniele Casazza Tutor