MATH10350 Calculus in the Mathematical and Physical Sciences

Academic Year 2020/2021

Following an initial discussion of the notions of the limit of a function and continuity, the module focuses on derivatives and tangent lines, various rules for differentiation, and the differentiation of trigonometric functions and inverse functions. Attention is given to an important result, the mean value theorem and its consequences, as well as optimization problems. The second main emphasis concerns the notions of area and the definite integral, which are related to differentiation by the Fundamental Theorem of Calculus. There will be a study of the logarithmic and exponential functions and various techniques of integration. Applications of calculus to the physical sciences will be provided throughout the module.

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Curricular information is subject to change

Learning Outcomes:

On completion of this module students should be able to: 1. Compute limits of functions, derivatives and integrals, solve optimization problems, establish key properties of a given function, and exploit important properties of trigonometric and exponential functions and their inverses; 2. Describe the concepts introduced in the course, explain why certain key facts about calculus are true, and be able to apply these facts to the solutions of mathematical problems; 3. Apply the methods of calculus to a variety of problems arising in the physical sciences.

Student Effort Hours: 
Student Effort Type Hours
Lectures

30

Small Group

6

Tutorial

10

Specified Learning Activities

24

Autonomous Student Learning

40

Total

110

Approaches to Teaching and Learning:
Lectures, tutorials, enquiry and problem-based learning. 
Requirements, Exclusions and Recommendations
Learning Recommendations:

H4 in Leaving Certificate Mathematics (or equivalent)


Module Requisites and Incompatibles
Incompatibles:
MATH10030 - Maths for Business, MATH10070 - Introduction to Calculus, MATH10140 - Advanced Calculus (E&F), MATH10240 - Mathematics for Agriculture II, MATH10300 - Calculus in the Math. Sciences, MATH10310 - Calculus for Science, MATH10330 - Calculus in the Phy Sciences, MATH10420 - Intro Calculus Engineers(NUin), MST00050 - Mathematics: An introduction, MST10010 - Calculus I, MST10020 - Calculus II

Equivalents:
Diff & Integral Calc (MATH10060)


 
Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Continuous Assessment: Tutorials and WeBWorK Throughout the Trimester n/a Standard conversion grade scale 40% No

20

Examination: Midterm Examination Week 7 Yes Standard conversion grade scale 40% No

30

Examination: Examination Unspecified Yes Standard conversion grade scale 40% No

50


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

• Group/class feedback, post-assessment
• Online automated feedback

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