Module Catalogues, Xi'an Jiaotong-Liverpool University

Module Code: MTH021
Module Title: Introductory Calculus I
Module Level: Level 0
Module Credits: 5.00
Semester: SEM1
Originating Department: Mathematical Sciences
Pre-requisites: N/A

 Aims To provide students the basic contents of pre-calculus including algebra reference, linear functions and nonlinear functionsTo give students a brief introduction in calculus, which includes derivative and its application, and integration;To train the students' ability to work independently and to acquire the skill of problem solving.
 Learning outcomes A To understand all the key concepts of Limit, Continuity, Derivative and Integration for polynomial, exponential and logarithmic functions.B To be able to calculate the derivatives, limits and integration of polynomial, exponential and logarithmic functionsC To be able to establish simple mathematical models using the idea of integration and differentiation of polynomial functions.
 Method of teaching and learning Students need to take pre-calculus first before they take the calculus module. They will be expected to attend about 5 hours of formal lectures and supervised problem classes or 1 hour tutorial in a typical week. Lectures and tutorials will introduce students to the academic content and practical skills which are the subject of the module, while tutorials and problem classes will allow students to practice those skills. In addition to the time of classes, students will be expected to devote the unsupervised time to private study. Private study will provide time for reflection and consideration of lecture material and background reading. Continuous assessment, including home assignment marking, will be used to test to what extent practical skills have been learnt. Written examinations in the middle and at the end of the semester constitute the major part of assessment of the academic achievement.
 Syllabus 1. Algebra reference (polynomials, factoring, rational expressions, equations, inequalities, exponents and radicals)2. Functions :Linear functions and nonlinear functions (slope and equation of lines, polynomial and rational functions, exponential functions and logarithm functions)3. Limits and Continuity: (limits, continuity)4. Derivative (rate of change, definition of derivative, techniques for finding derivatives, derivatives of products and quotients, chain rule)5. Application of derivatives (increasing and decreasing functions, relative extrema, higher order derivatives and concavity, absolute extrema, application of extrema, implicit differentiation related rates) 6. Integration (Antiderivatives, substitution, area and the definite integral, the fundamental theorem of calculus, the area between two curves)
Delivery Hours
 Lectures Seminars Tutorials Lab/Prcaticals Fieldwork / Placement Other(Private study) Total Hours/Semester 65 13 72 150

## Assessment

 Sequence Method % of Final Mark 1 Written Examination 60.00 2 Mid-Term Test 25.00 3 Course Work 15.00
 Module Catalogue generated from SITS CUT-OFF: 12/9/2019 11:52:20 PM