MATH12224 - Calculus B

Showing: 2026 HE Term 1
General Information

Unit Synopsis

In this unit, you will solve problems in geometry, science, engineering, business, and other disciplines through the application of integral calculus techniques. You will interpret the fundamental theorems of integration and evaluate integrals using the substitution rule, integration by parts, trigonometric substitution, and other numerical approximations. You will learn how to apply Taylor or Maclaurin series to represent and approximate nonlinear functions.

Details

Level Undergraduate
Unit Level 2
Credit Points 6
Student Contribution Band SCA Band 1
Fraction of Full-Time Student Load 0.125
Pre-requisites or Co-requisites
Prerequisite: MATH12223 Calculus and Linear Algebra A

Important note: Students enrolled in a subsequent unit who failed their pre-requisite unit, should drop the subsequent unit before the census date or within 10 working days of Fail grade notification. Students who do not drop the unit in this timeframe cannot later drop the unit without academic and financial liability. See details in the Assessment Policy and Procedure (Higher Education Coursework).

Class Timetable View Unit Timetable
Residential School No Residential School

Unit Availabilities from Term 1 - 2026

Term 2 - 2026 Profile
Online

Attendance Requirements

All on-campus students are expected to attend scheduled classes - in some units, these classes are identified as a mandatory (pass/fail) component and attendance is compulsory. International students, on a student visa, must maintain a full time study load and meet both attendance and academic progress requirements in each study period (satisfactory attendance for International students is defined as maintaining at least an 80% attendance record).

Assessment Overview

Recommended Student Time Commitment

Each 6-credit Undergraduate unit at CQUniversity requires an overall time commitment of an average of 12.5 hours of study per week, making a total of 150 hours for the unit.

Assessment Tasks

Assessment Task Weighting
1. Written Assessment 25%
2. Written Assessment 25%
3. Examination 50%

This is a graded unit: your overall grade will be calculated from the marks or grades for each assessment task, based on the relative weightings shown in the table above. You must obtain an overall mark for the unit of at least 50%, or an overall grade of ‘pass’ in order to pass the unit. If any ‘pass/fail’ tasks are shown in the table above they must also be completed successfully (‘pass’ grade). You must also meet any minimum mark requirements specified for a particular assessment task, as detailed in the ‘assessment task’ section (note that in some instances, the minimum mark for a task may be greater than 50%).

Consult the University's Grades and Results Policy for more details of interim results and final grades

Past Exams

Previous Feedback

Feedback, Recommendations and Responses

Every unit is reviewed for enhancement each year. At the most recent review, the following staff and student feedback items were identified and recommendations were made.

Source: Unit evaluation
Feedback:
 Some students found the textbook challenging to understand.

Recommendation:
 Provide more worked examples with supporting explanations in the lecture.

Action Taken:
 Additional practical examples were discussed during the workshop.
Source: Unit Evaluation
Feedback:
 Overall, the unit is well structured. The textbook is extremely well-organised, and the subject matter is explained clearly and concisely. The teaching staff are also extremely helpful and are always available to assist with any questions or enquiries.

Recommendation:
 Continue to maintain high-quality teaching support and well-structured learning resources.

Action Taken:
 In Progress
Source: Unit coordinator reflection
Feedback:
 Students learn at different paces and benefit from flexible, self-paced access to lecture content.

Recommendation:
 Continue providing weekly lecture videos and topic-specific segments to support self-paced learning and targeted revision.

Action Taken:
 In Progress
Unit Learning Outcomes

On successful completion of this unit, you will be able to:

  1. Interpret the fundamental theorems of integration
  2. Evaluate integrals using the substitution rule, integration by parts, trigonometric substitution, and other numerical approximations
  3. Use Taylor or Maclaurin series to represent and approximate nonlinear functions
  4. Apply integral calculus to solve problems in geometry, science, engineering, business, and other disciplines.
Alignment of Assessment Tasks to Learning Outcomes
Assessment Tasks Learning Outcomes
1 2 3 4
1 - Written Assessment • •
2 - Written Assessment • •
3 - Examination • • • •
Alignment of Graduate Attributes to Learning Outcomes
• Introductory Level
• Intermediate Level
• Graduate Level
Graduate Attributes Learning Outcomes
1 2 3 4
1 - Communication • • • •
2 - Problem Solving • • • •
3 - Critical Thinking • • • •
4 - Information Literacy • • • •
6 - Information Technology Competence • • • •
Alignment of Assessment Tasks to Graduate Attributes
• Introductory Level
• Intermediate Level
• Graduate Level
Assessment Tasks Graduate Attributes
1 2 3 4 5 6 7 8 9 10 10
1 - Written Assessment • • • • •
2 - Written Assessment • • • • •
3 - Examination • • • •