# Calculus for the Social Sciences

Faculty
Science & Technology
Department
Mathematics
Course Code
MATH 1125
Credits
3.00
Semester Length
15 weeks
Max Class Size
35
Method Of Instruction
Lecture
Tutorial
Typically Offered
Fall
Summer
Winter

## Overview

Course Description
This course is an introduction to differential calculus for students in business, social sciences and biological sciences. Topics include limits, differentiation techniques for algebraic, logarithmic, exponential and trigonometric functions, mathematical modeling, applications to graphing and optimization, implicit differentiation and differentials.
Course Content
1. Limits and Limit Laws
2. Continuity
3. Tangent Lines and the Derivative
4. Differentiation Rules and Implicit Differentiation
5. Related Rates
6. Marginal Analysis and Differentials
7. Applications to Graphing Functions
8. Determining the Extrema of Functions
Methods Of Instruction

Lectures, tutorials,  problem sessions and assignments

Means of Assessment

Evaluation will be carried out in accordance with Douglas College policy.  The instructor will present a written course outline with specific evaluation criteria at the beginning of the semester.  Evaluation will be based on some of the following:

 Weekly tests 0-40% Term tests 20-70% Assignments 0-20% Attendance/participation 0-5% Tutorials 0-10% Final examination 30-40%
Learning Outcomes

Upon completion of MATH 1125 the student should 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
• find derivatives and relate them to tangent lines 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
• 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
• solving problems involving Markov Chains, Linear Programming and Game Theory
Textbook Materials

Textbook varies by semester, please see College Bookstore for current version.

Typical text:

Hoffmann and Bradley, Applied Calculus, current edition, McGraw Hill

## Requisites

### Prerequisites

MATH 1105; or MATH 1110; or Principles of Math 12 with a B or better or an approved equivalent; or Precalculus 12 with a B or better.

### Corequisites

No corequisite courses.

### Equivalencies

No equivalent courses.

## 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

Institution Transfer Details Effective Dates
Alexander College (ALEX) ALEX MATH 104 (3) 2008/09/01 to -
Camosun College (CAMO) CAMO MATH 108 (4) 2013/01/01 to -
Capilano University (CAPU) CAPU MATH 108 (3) 2004/09/01 to -
Coquitlam College (COQU) COQU MATH 111 (3) 2004/09/01 to -
Kwantlen Polytechnic University (KPU) KPU MATH 1140 (3) 2004/09/01 to -
Langara College (LANG) LANG MATH 1174 (3) 2004/09/01 to -
Okanagan College (OC) OC MATH 116 (3) 2005/09/01 to 2017/12/31
Simon Fraser University (SFU) SFU MATH 157 (3) 2004/09/01 to -
Thompson Rivers University (TRU) TRU MATH 1400 (3) 2010/09/01 to 2015/08/31
Thompson Rivers University (TRU) TRU MATH 1140 (3) 2015/09/01 to -
Thompson Rivers University (TRU) TRU MATH 140 (3) 2004/09/01 to 2010/08/31
Trinity Western University (TWU) TWU MATH 120 (3) 2007/09/01 to -
Trinity Western University (TWU) TWU MATH 1XX (3) 2004/09/01 to 2007/08/31
University of British Columbia - Okanagan (UBCO) UBCO MATH 116 (3) 2005/05/01 to -
University of British Columbia - Vancouver (UBCV) UBCV MATH 104 (3) 2004/09/01 to -
University of Northern BC (UNBC) UNBC MATH 100 (3) 2006/05/01 to -
University of Northern BC (UNBC) UNBC MATH 152 (3) 2004/09/01 to 2006/04/30
University of the Fraser Valley (UFV) UFV MATH 115 (4) 2004/09/01 to 2010/12/31
University of Victoria (UVIC) UVIC MATH 102 (1.5) 2004/09/01 to -
Vancouver Island University (VIU) VIU MATH 191 (3) 2004/09/01 to 2014/08/31

## Course Offerings

### Fall 2021

CRN
Days
Dates
Start Date
End Date
Instructor
Status
32124
Wed Fri
07-Sep-2021
- 08-Dec-2021
07-Sep-2021
08-Dec-2021
Snider
Wesley
Open
MATH 1125 002 - Students must ALSO register in one of MATH 1125 T01, T02, or T03.

Max
Enrolled
Remaining
Waitlist
35
30
5
0
Days
Building
Room
Time
Wed Fri
New Westminster - North Bldg.
N4306
10:30 - 12:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
33377
Tue Thu
07-Sep-2021
- 08-Dec-2021
07-Sep-2021
08-Dec-2021
Snider
Wesley
Open
MATH 1125 001 - Students must ALSO register in one of MATH 1125 T01, T02, or T03.
Max
Enrolled
Remaining
Waitlist
35
21
14
0
Days
Building
Room
Time
Tue Thu
New Westminster - North Bldg.
N4213
10:30 - 12:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
34633
Fri
07-Sep-2021
- 08-Dec-2021
07-Sep-2021
08-Dec-2021
Snider
Wesley
Open
MATH 1125 T01 - Students must FIRST register in one of MATH 1125 001 or 002.

Max
Enrolled
Remaining
Waitlist
24
23
1
0
Days
Building
Room
Time
Fri
New Westminster - North Bldg.
N1220
12:30 - 13:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
34634
Fri
07-Sep-2021
- 08-Dec-2021
07-Sep-2021
08-Dec-2021
Snider
Wesley
Open
MATH 1125 T02 - Students must FIRST register in one of MATH 1125 001 or 002.
Max
Enrolled
Remaining
Waitlist
24
18
6
0
Days
Building
Room
Time
Fri
New Westminster - North Bldg.
N1220
13:30 - 14:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
34635
Fri
07-Sep-2021
- 08-Dec-2021
07-Sep-2021
08-Dec-2021
Snider
Wesley
Open
MATH 1125 T03 - Students must FIRST register in one of MATH 1125 001 or 002.
Max
Enrolled
Remaining
Waitlist
24
9
15
0
Days
Building
Room
Time
Fri
New Westminster - North Bldg.
N1220
14:30 - 15:20