MATH102-21S1 (C) Semester One 2021

Mathematics 1A

15 points

Details:
Start Date: Monday, 22 February 2021
End Date: Sunday, 27 June 2021
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 7 March 2021
  • Without academic penalty (including no fee refund): Friday, 14 May 2021

Description

An introductory course in calculus and linear algebra that is designed primarily for students who have done well in Level 3 NCEA Mathematics, covering single variable calculus and basic ideas in linear algebra. The mathematics in this course has applications in many areas of science and commerce.

The work in MATH102 is based around the fundamental ideas in linear algebra and calculus which students started studying at school. MATH102 can be taken as a standalone course or as the first part of a core mathematics programme.

Topics:
Linear equations and matrices; Functions and Infinity; Differentiation and applications; Integration and applications.

Learning Outcomes

  • Students who have succeeded in this course will be able to:

  • Define the key concepts in:
    - solving systems of linear equations
    - matrix algebra
    - functions and their inverses
    - single-variable calculus

  • Describe and interpret:
    - the connection between matrices and linear systems
    - solutions of linear systems geometrically, and in context
    - graphs and  properties of functions
    - the key theorems of calculus
    - the relationships between differential and integral calculus.

  • Use techniques from the course to:
    - solve systems of linear equations
    - evaluate limits of functions and solve continuity problems
    - find derivatives and use them in a variety of applications
    - find integrals and use them in a variety of applications.

  • Identify the appropriate method of solution for problems in linear algebra and calculus.

Pre-requisites

1. MATH101, or
2. NCEA 14 Credits at level 3 Mathematics, or
3. Cambridge: D at A level or
an A at AS level in Mathematics, or
4. IB: 4 at HL or
5 at SL in Mathematics, or
5. Approval of the Head of School based on alternative prior learning.

Restrictions

MATH108, MATH199, EMTH118

Timetable 2021

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Tuesday 10:00 - 11:00 A1 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
Lecture B
Activity Day Time Location Weeks
01 Wednesday 10:00 - 11:00 A1 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
Lecture C
Activity Day Time Location Weeks
01 Thursday 15:00 - 16:00 A1 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
Lecture D
Activity Day Time Location Weeks
01 Friday 16:00 - 17:00 A1 Lecture Theatre
22 Feb - 28 Mar
26 Apr - 6 Jun
Tutorial A
Activity Day Time Location Weeks
01 Friday 12:00 - 13:00 Psychology - Sociology 307
22 Feb - 28 Mar
26 Apr - 6 Jun
02 Tuesday 09:00 - 10:00 James Logie 105
22 Feb - 4 Apr
26 Apr - 6 Jun
03 Wednesday 11:00 - 12:00 Psychology - Sociology 307
22 Feb - 4 Apr
26 Apr - 6 Jun
04 Thursday 12:00 - 13:00 Jack Erskine 241
22 Feb - 4 Apr
26 Apr - 6 Jun
05 Monday 10:00 - 11:00 Jack Erskine 239
22 Feb - 4 Apr
3 May - 6 Jun
06 Tuesday 12:00 - 13:00 Jack Erskine 445
22 Feb - 4 Apr
26 Apr - 6 Jun
07 Friday 14:00 - 15:00 Psychology - Sociology 307
22 Feb - 28 Mar
26 Apr - 6 Jun
08 Thursday 10:00 - 11:00 Jack Erskine 239
22 Feb - 4 Apr
26 Apr - 6 Jun
09 Monday 13:00 - 14:00 James Logie 105
22 Feb - 4 Apr
3 May - 6 Jun
10 Friday 13:00 - 14:00 Psychology - Sociology 307
22 Feb - 28 Mar
26 Apr - 6 Jun
11 Monday 14:00 - 15:00 James Logie 105
22 Feb - 4 Apr
3 May - 6 Jun
12 Wednesday 13:00 - 14:00 Jack Erskine 239
22 Feb - 4 Apr
26 Apr - 6 Jun
13 Tuesday 14:00 - 15:00 Psychology - Sociology 307
22 Feb - 4 Apr
26 Apr - 6 Jun
14 Monday 16:00 - 17:00 Jack Erskine 445
22 Feb - 4 Apr
3 May - 6 Jun
15 Thursday 13:00 - 14:00 Jack Erskine 241
22 Feb - 4 Apr
26 Apr - 6 Jun

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Thursday 18:30 - 20:00 Jack Mann 101 Lecture Theatre 29 Mar - 4 Apr
02 Thursday 18:30 - 20:00 Otakaro 236 L2 Lecture Theatre 29 Mar - 4 Apr

Course Coordinator / Lecturer

Charles Semple

Assessment

Assessment Due Date Percentage 
Tutorial homework and participation 10%
Online quizzes 10%
Mid-Semester Test 30%
Final Examination 50%


To obtain a clear pass in this course, you must both pass the course as a whole (≥ 50%) and also obtain at least 40% in the final examination.

Textbooks / Resources

Recommended Reading

Stewart, James; Calculus : early transcendentals; Eighth edition; Cengage Learning, 2016.

Indicative Fees

Domestic fee $788.00

International fee $4,438.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics.

All MATH102 Occurrences