0C2/1C2 (MATH19832/MATH19542) - Course Materials
Resources by Dr Voronov
Lecture Notes:
- Definite and Indefinite Integrals
- Polynomials and Rational Functions
- More Algebra: Progressions and Binomial Theorem
- Trigonometric and Inverse Trigonometric Functions
- Further Differential Calculus
- Integration Methods
- Revision (material for week 12)
Example Sheets
- Example Sheet 1: Definite and Indefinite Integrals. Solutions.
- Example Sheet 2: Polynomials and Rational Functions. Solutions
- Example Sheet 3: More Algebra: Progressions and Binomial Theorem. Solutions
- Example Sheet 4: Trigonometric and Inverse Trigonometric Functions. Solutions
- Example Sheet 5: Further Differential Calculus. Solutions
- Example Sheet 6: Integration Methods. Solutions
Coursework
- Coursework 1 (due in: Monday 25 February). (Here you can find a cover sheet that may be used.)
- Coursework 2 (due in: Monday 29 April). You must attached a cover sheet and fill it in as required.
(Here are a cover sheet for foundation studies and a cover sheet for optometry.)
Past exam papers
HELM Modules
Download and print the HELM modules on topics relevant to 1C2.
- Partial Fractions
- Partial Fractions
- Series and Functions
- Sequences and series (includes arithmetic and geometric progressions)
- The binomial series
- Differentiation
- Differentiating products and quotients
- The chain rule (composite functions)
- Maxima and minima
- Integration
- Basic Concepts of integration
- Definite Integrals
- Area under a curve
- Integration by parts
- Integration by substitution and partial fractions
- Modelling with differential equations
- First Order ODEs
- Solution of Equations
- (Context - Using matrices and determinants to solve equations)
- Cramer's rule for solving simultaneous equations
- Solving simultaneous equations using the inverse matrix
- Gauss elimination
Formula Tables
Download, print and get used to looking up information in these Formula Tables. Your lecturer will be able to confirm if these tables will be provided in exams.
Past exam papers
Download and print exam papers from previous years. Be aware that the syllabus may have changed, making some questions no longer relevant to the course you are taking. The number of questions may also have changed.