Calculus for the Social Sciences
Overview
- Limits and Limit Laws
- Continuity
- Tangent Lines and the Derivative
- Differentiation Rules and Implicit Differentiation
- Related Rates
- Marginal Analysis and Differentials
- Applications to Graphing Functions
- Determining the Extrema of Functions
- Additonal techniques of Business Analysis
Lectures, tutorials, problem sessions and assignments
Evaluation will be carried out in accordance with the Douglas College Evaluation Policy. The instructor will present a written course outline with specific evaluation criteria at the beginning of the semester. Evaluation will be based on the following:
Weekly tests | 0-40% |
Term tests | 20-70% |
Assignments | 0-20% |
Attendance/participation | 0-5% |
Tutorials | 0-10% |
Final examination | 30-40% |
Upon completion of this course, successful students will be able to:
- evaluate elementary limits involving algebraic, exponential, logarithmic and trigonometric functions.
- describe the concept of continuity and determine intervals upon which a function is continuous.
- apply the intermediate value theorem.
- find average and instantaneous rates of change.
- define derivatives and relate them to tangent line slopes and instantaneous rates of change.
- use differentiation rules to compute the derivatives of algebraic, exponential, logarithmic, trigonometric and implicit functions.
- formulate and solve problems involving marginal analysis, elasticity, points of diminishing returns, and other forms of economic modeling.
- apply the concepts of differentials and linear approximations to applications in business and social sciences.
- sketch graphs of functions by applying first and second derivative techniques as well as analysis of vertical, horizontal and slant asymptotes.
- use differentiation to determine the local and absolute extrema of functions.
- use calculus methods to solve problems of time value of money: interest, annuities, loans, investments and the value of a continuous money flow.
Additional topics that may be included in the course:
- compute the definite and indefinite integral of a function.
- use integration techniques (substitution, integration by parts and others) to compute integrals.
- apply the integral to problems in business and the social sciences.
- use Newton’s method to determine points of intersection.
- solve problems involving Markov Chains, Linear Programming and Game Theory.
Consult the Douglas College Bookstore for the latest required textbooks and materials.
Example textbooks and materials may include:
Hoffmann and Bradley, Applied Calculus, current edition, McGraw Hill
Requisites
Course Guidelines
Course Guidelines for previous years are viewable by selecting the version desired. If you took this course and do not see a listing for the starting semester / year of the course, consider the previous version as the applicable version.
Course Transfers
These are for current course guidelines only. For a full list of archived courses please see https://www.bctransferguide.ca
Institution | Transfer Details for MATH 1125 |
---|---|
Alexander College (ALEX) | ALEX MATH 104 (3) |
Camosun College (CAMO) | CAMO MATH 108 (3) |
Capilano University (CAPU) | CAPU MATH 108 (3) |
Coquitlam College (COQU) | COQU MATH 111 (3) |
Kwantlen Polytechnic University (KPU) | KPU MATH 1140 (3) |
Langara College (LANG) | LANG MATH 1174 (3) |
Simon Fraser University (SFU) | SFU MATH 157 (3) |
Thompson Rivers University (TRU) | TRU MATH 1140 (3) |
Trinity Western University (TWU) | TWU MATH 120 (3) |
University of British Columbia - Okanagan (UBCO) | UBCO MATH_O 116 (3) |
University of British Columbia - Vancouver (UBCV) | UBCV MATH_V 104 (3) |
University of Northern BC (UNBC) | UNBC MATH 100 (3) |
University of Victoria (UVIC) | UVIC MATH 102 (1.5) |
Course Offerings
Winter 2025
CRN | Days | Instructor | Status | More details |
---|---|---|---|---|
CRN
12161
|
Tue Thu | Instructor Last Name
Anisef
Instructor First Name
Aubie
|
Course Status
Open
|
MATH 1125 001 – Must also register in MATH 1125 T01 or T02