Bachelor of Science Honours in Mathematics
The Bachelor of Science Honours in Mathematics provides a broadening of the fundamental mathematical basis developed in the undergraduate mathematics programme.
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Please note that selection for postgraduate programmes is highly competitive. Meeting the minimum admission requirements does not guarantee admission to the programme.
Minimum toelatingsvereistes
• A BSc degree with Mathematics as major or an equivalent qualification. Please contact the Mathematics Division in this regard.
• A final mark of at least 60% for Mathematics 3.
• For the Biomathematics focus, you must have a BSc degree approved by the Biomathematics programme committee with an average mark of at least 60% for the relevant third-year modules.
Programstruktuur
You can, with the permission of the Mathematics Division, take elective modules to the value of 16 credits per semester, outside the Mathematics Division. In each semester, you must take honours modules to the value of at least 64 credits. In the second semester one of these modules is a research project. The modules you choose give a focus to the BScHons in Mathematics. This focus will be discussed with you to design an appropriate curriculum.
Programme Content
The following tables contains the modules for the focus in Mathematics.
First Semester (64 credits)
Compulsory Modules
(credits = 48)
Subject code | Credits | Module Name | Semester
10378 711 16 Algebra (Prerequisite pass module: Mathematics 314 or an equivalent third-year algebra module) 1
11202 712 16 Functional Analysis and Measure Theory (Prerequisite pass module: Mathematics 365 or an equivalent thirdyear real analysis module) 1
62871 714 16 Topology (Prerequisite pass module: Mathematics 365 or an equivalent third-year real analysis module or Mathematics 378) 1
Plus Elective Modules
(credits = 16) Choose two of the modules below.
Depending on the interest shown and the availability of lecturers, the following modules will be presented:
11493 747 8 Algebraic Number Theory
11494 748 8 Computational Algebra
20405 749 8 Wavelet analysis
66389 751 8 Functional Analysis II
66397 752 8 Measure Theory II
64400 753 8 Category Theory
66419 754 8 Logic
66427 755 8 Concrete Mathematics
66435 756 8 Topics in Algebra
12250 757 8 Complex Analysis II
62928 741 8 Capita selecta I
62979 742 8 Capita selecta II
62936 743 8 Capita selecta III
11204 744 8 Capita selecta IV
63002 745 8 Capita selecta V
11203 760 8 Advanced Analysis
12550 761 8 Advanced Abstract Algebra
12551 762 8 Number theory
14048 767 8 Advanced Combinatorics
14049 768 8 Algebraic Curves
14050 769 8 Algebraic Geometry
14051 771 8 Asymptotic Methods
14053 772 8 Categorical Algebra
14054 773 8 Differential Geometry
14055 774 8 Functional Analysis III
14056 775 8 Hilbert Spaces and C∗-algebras
14057 776 8 Knot Theory
14058 780 8 Lie Groups and Lie Algebras
14059 784 8 Model Theory
14061 785 8 Operator Theory
14062 781 8 Universal Algebra
14063 782 8 Representation Theory
14064 783 8 Analytic Number Theory
Second Semester (64 credits)
Compulsory Modules (credits = 48)
62944 746 32 Mathematics: Honours project
62987 713 16 Complex Analysis
Plus Elective Modules
(credits = 16) Choose two of the modules below.
Depending on the interest shown and the availability of lecturers, the following modules will be presented:
11493 747 8 Algebraic Number Theory
11494 748 8 Computational Algebra
20405 749 8 Wavelet analysis
66389 751 8 Functional Analysis II
66397 752 8 Measure Theory II
64400 753 8 Category Theory
66419 754 8 Logic
66427 755 8 Concrete Mathematics
66435 756 8 Topics in Algebra
12250 757 8 Complex Analysis II
62928 741 8 Capita selecta I
62979 742 8 Capita selecta II
62936 743 8 Capita selecta III
11204 744 8 Capita selecta IV
63002 745 8 Capita selecta V
11203 760 8 Advanced Analysis
12550 761 8 Advanced Abstract Algebra
12551 762 8 Number theory
14048 767 8 Advanced Combinatorics
14049 768 8 Algebraic Curves
14050 769 8 Algebraic Geometry
14051 771 8 Asymptotic Methods
14053 772 8 Categorical Algebra
14054 773 8 Differential Geometry
14055 774 8 Functional Analysis III
14056 775 8 Hilbert Spaces and C∗-algebras
14057 776 8 Knot Theory
14058 780 8 Lie Groups and Lie Algebras
14059 784 8 Model Theory
14061 785 8 Operator Theory
14062 781 8 Universal Algebra
14063 782 8 Representation Theory
14064 783 8 Analytic Number Theory
The following tables contains the modules for the focus in Biomathematics.
First Semester (64 credits)
Specific modules are offered in collaboration with the African Institute for Mathematical Sciences (AIMS) at its campus in Muizenberg.
Compulsory Modules (credits = 64)
11779 721 16 Computational and discrete methods in Biomathematics Both
11780 722 16 Non-linear Dynamical Systems in Biomathematics Both
11781 723 8 Advanced Topics in Biomathematics I Both
11782 724 8 Advanced Topics in Biomathematics II Both
11785 725 8 Selected topics from biological sciences Both
11786 726 8 Selected topics from biomedical sciences Both
Second Semester (64 credits)
You complete an honours project on a research topic involving the application of mathematical, computational and/or statistical methods to analyse and solve problems in biological sciences, environmental sciences and biomedical sciences.
Compulsory Modules
(credits = 56)
11787 747 32 Biomathematics: Honours project Both
12553 748 16 Advanced Topics in Biomathematics III 2
12554 749 8 Advanced Topics in Biomathematics IV 2
Plus Elective Modules
(credits = 8)
You can take any honours module in consultation with the Biomathematics programme committee and if it complies with specific prerequisites.