Undergraduate Course: Mathematics for Physics 1 (PHYS08035)
|School||School of Physics and Astronomy
||College||College of Science and Engineering
|Credit level (Normal year taken)||SCQF Level 8 (Year 1 Undergraduate)
||Availability||Available to all students
|Summary||This course is designed for pre-honours physics students, primarily to develop their mathematical and problem solving skills in the context of basic algebra and calculus. A key element in understanding physics is the ability to apply elementary mathematics effectively in physical applications. For this, knowledge of mathematics is not enough, one also needs familiarity and practice. The course is centred on problem solving workshops, and supported by lectures.
1. Basic algebra: manipulating algebraic expressions, completing squares, polynomials and factor theorem, quadratic and root equations.
2. Functions: inequalities, modulus functions, exponential and logarithms, curve sketching.
3. Series expansion
4. Trigonometry: trigonometric functions, algebra with trigonometric functions.
5. Complex numbers: algebra with i, Argand diagram, Euler and de-Moivre, trigonometric functions revisited.
6. Differentiation: differentiate standard functions, composite functions, higher derivatives, applications.
8. Integration: standard integrals, integrating by substitution, integrating by parts, applications.
Entry Requirements (not applicable to Visiting Students)
||Co-requisites|| It is RECOMMENDED that students also take
Physics 1A: Foundations (PHYS08016)
||Other requirements|| None
Information for Visiting Students
|High Demand Course?
Course Delivery Information
|Academic year 2020/21, Available to all students (SV1)
|Learning and Teaching activities (Further Info)
Lecture Hours 18,
Seminar/Tutorial Hours 40,
Feedback/Feedforward Hours 3,
Formative Assessment Hours 12,
Summative Assessment Hours 5,
Revision Session Hours 6,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
|Assessment (Further Info)
|Additional Information (Assessment)
||Hours & Minutes
|Main Exam Diet S1 (December)||3:00|
|Resit Exam Diet (August)||3:00|
On completion of this course, the student will be able to:
- Demonstrate understanding and work with basic algebra: manipulating algebraic expressions, completing squares, polynomials and factor theorem, quadratic and root equations.
- Demonstrate understanding and work with functions: inequalities, modulus functions, exponential and logarithms, curve sketching, trigonometric functions, lines and circles, conic sections; series expansions.
- Demonstrate understanding and work with complex numbers: algebra with i, argand diagram, Euler and de-Moivre, trigonometric functions revisited.
- Demonstrate understanding and work with derivatives: differentiate standard functions, differentiate composite functions, higher derivatives, applications to simple physical problems.
- Demonstrate understanding and work with integrals: standard integrals, integrating by substitution, integrating by parts.
|Graduate Attributes and Skills
|Additional Class Delivery Information
||2 lectures and 2 out of 4 workshops.
|Course organiser||Prof Richard Blythe
Tel: (0131 6)50 5105
|Course secretary||Miss Helen Walker
Tel: (0131 6)50 7741