Mathematics 1C: Introduction to Calculus MATHS1015

  • Academic Session: 2023-24
  • School: School of Mathematics and Statistics
  • Credits: 20
  • Level: Level 1 (SCQF level 7)
  • Typically Offered: Semester 1
  • Available to Visiting Students: Yes

Short Description

This course is an introduction to Calculus (differentiation, integration, and differential equations), with an emphasis on applications to subjects like Chemistry, Computing Science, Life Sciences and Social Sciences.


The course will be delivered in 2 sections, to allow for a range of combinations with other subjects.

One section of the class will meet Mon, Tues, Wed, Thurs, Fri from 4-5.

The other will meet Mon, Tues, Wed, Thurs, Fri 11-12.

In weeks 2-11 of the course, 4 out of the 5 weekly meetings of the class will be lectures; the other meeting will alternate between tutorial labs and example classes.

Requirements of Entry

SQA Higher Mathematics at C or above or equivalent.

Excluded Courses

Mathematics 1R, Mathematics 1S, Mathematics 1X, Mathematics 1Y, Mathematics 1.


Written exams: Final exam 120 minutes (designed to complete in 30) making up 60%.


Set exercises: quizzes (10%), e-assignments (10%), feedback exercises (10%), Group activities (10%).

Main Assessment In: December

Are reassessment opportunities available for all summative assessments? No

Reassessments are normally available for all courses, except those which contribute to the Honours classification. For non-Honours courses, students are offered reassessment in all or any of the components of assessment if the satisfactory (threshold) grade for the overall course is not achieved at the first attempt. This is normally grade D3 for undergraduate students and grade C3 for postgraduate students. Exceptionally it may not be possible to offer reassessment of some coursework items, in which case the mark achieved at the first attempt will be counted towards the final course grade. Any such exceptions for this course are described below. 


Reassessments are not possible for the feedback exercise, group activities, workshops or eAssignments.

Course Aims

Mathematics 1C aims to consolidate and build upon calculus and algebra skills from SQA Higher Mathematics with a focus on calculus and modelling; increase students' competence and confidence in abstracting the essentials of problems across subjects such as Computer Science, Biochemistry and Economics, formulating them mathematically and obtaining clearly communicated solutions by appropriate methods.

Intended Learning Outcomes of Course

By the end of this course students will be able to:


1) use the mathematical language of sets & functions to solve problems, with a particular emphasis on logarthimic, exponential, modulus, polynomial and rational functions;

2) relate algebraic and geometric perspectives on trigonometric functions using these viewpoints to solve trigonometric equations;

3) apply standard rules of calculus to compute derivative, anti-derivatives and integrals to solve problems in, for example, optimisation;

4) set-up and solve first-order ODEs.

5) use the mathematical tools developed in this course to model and solve problems from cognate disciplines both individually and in small groups.45

Minimum Requirement for Award of Credits

Students must submit at least 75% by weight of the components (including examinations) of the course's summative assessment.