Mathematics 1B

This course builds on the foundation provided by 160.111. Together these courses provide a mathematical platform for more advanced studies in mathematics, science and engineering.. The topics are a blend of calculus and linear algebra, including complex numbers, linear transformations, eigenvectors, advanced techniques of integration, differential equations and applications.

Course code

Qualifications are made up of courses. Some universities call these papers. Each course is numbered using six digits.



The fourth number of the course code shows the level of the course. For example, in course 219206, the fourth number is a 2, so it is a 200-level course (usually studied in the second year of full-time study).



Each course is worth a number of credits. You combine courses (credits) to meet the total number of credits needed for your qualification.




Course planning information

Course notes

Co-taught with 228.172

To pass course students must achieve at least 40% in the final exam with an aggregate of at least 50%

Prerequisite courses

Complete first
160111 or 228171 or any one of 160101, 160102

You need to complete the above course or courses before moving onto this one.


Choose just one

The courses listed above have similar content to this one meaning you can only enrol in this course or one of the listed courses. Only one of the courses can be credited towards your qualification.

Learning outcomes

What you will learn. Knowledge, skills and attitudes you’ll be able to show as a result of successfully finishing this course.

  • 1 Demonstrate proficiency with the algebra and geometry of complex numbers.
  • 2 Translate problems into mathematical models and apply the concepts and techniques of basic calculus and linear algebra to a wide variety of applications.
  • 3 Use computer software (such as MATLAB) to carry out graphical, numerical and symbolic investigations.
  • 4 Calculate determinants, eigenvalues and eigenvectors of up to 3-by-3 matrices.
  • 5 Formulate, solve and analyse linear programming problems.
  • 6 Solve simple first-order differential equations and competently calculate integrals.

Learning outcomes can change before the start of the semester you are studying the course in.


Assessment Learning outcomes assessed Weighting
Test 1 2 3 4 5 25%
Written Assignment 1 2 3 4 5 6 20%
Exam (centrally scheduled) 1 2 3 4 5 55%
Distance only
Assessment Learning outcomes assessed Weighting
Written Assignment 1 2 5 6 4%
Written Assignment 2 5 6 4%
Written Assignment 3 5 6 4%
Written Assignment 4 5 6 4%
Written Assignment 4 5 6 4%
Exam (centrally scheduled) 1 2 3 4 5 80%

Assessment weightings can change up to the start of the semester the course is delivered in.

You may need to take more assessments depending on where, how, and when you choose to take this course.

Explanation of assessment types

Computer programmes
Computer animation and screening, design, programming, models and other computer work.
Creative compositions
Animations, films, models, textiles, websites, and other compositions.
Exam College or GRS-based (not centrally scheduled)
An exam scheduled by a college or the Graduate Research School (GRS). The exam could be online, oral, field, practical skills, written exams or another format.
Exam (centrally scheduled)
An exam scheduled by Assessment Services (centrally) – you’ll usually be told when and where the exam is through the student portal.
Oral or performance or presentation
Debates, demonstrations, exhibitions, interviews, oral proposals, role play, speech and other performances or presentations.
You may be assessed on your participation in activities such as online fora, laboratories, debates, tutorials, exercises, seminars, and so on.
Creative, learning, online, narrative, photographic, written, and other portfolios.
Practical or placement
Field trips, field work, placements, seminars, workshops, voluntary work, and other activities.
Technology-based or experience-based simulations.
Laboratory, online, multi-choice, short answer, spoken, and other tests – arranged by the school.
Written assignment
Essays, group or individual projects, proposals, reports, reviews, writing exercises, and other written assignments.

Course delivery details

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