Calculus for the Social Sciences
- Limits and Limit Laws
- 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:
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
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.
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 116 (3)|
|University of British Columbia - Vancouver (UBCV)||UBCV MATH 104 (3)|
|University of Northern BC (UNBC)||UNBC MATH 100 (3)|
|University of Victoria (UVIC)||UVIC MATH 102 (1.5)|
MATH 1125 001 - Students must ALSO register in MATH 1125 T01 or T02.