MAC2233: Calculus for Business, Social and Life Sciences

If you change the way you look at things, the things you look at change.
Max Plank

Any fool can know. The point is to understand.
Albert Einstein

MAC2233: Calculus for Business, Social and Life Sciences

This is a general education course which includes the college-level skills of calculus such as: functions, graphs, limits, differentiation, integration, average and instantaneous rates of change and other applications. Recommendation of the Mathematics Department or at least a grade of C in the prerequisite course is required.

MAC2233: Activities

Fall 2019, Broward College

8/20
Introduction to the course.
1.1 Functions. Practice 01.

8/22
1.2 Elementary Functions: Graphs and Transformations.
Practice 02.
HW_Questions.

8/27
1.4 Polynomial and Rational Functions.
Practice 03.

8/29
1.5 Exponential Functions; 1.6 Logarithmic Functions.
Practice 04.

9/03

No Class: Hurricane Dorian

9/05
Review 01

9/10
Test 1

9/12
2.1 Introduction to Limits; 2.2 Infinite Limits and Limits and Infinity 2.3 Continuity.
Practice05

9/17

2.4 The Derivative; 2.5 Basic Differentiation Properties;
2.7 Marginal Analysis in Business and Economics.
Practice06
Marginal Analysis Notes

9/19
Review 2

9/24
Test 2

9/26
3.1 The Constant e and Continuous Compound Interest;
3.2 Derivatives of Exponential and Logarithmic Functions
Practice07

10/1

3.3 Derivatives of Products and Quotients
Practice08

10/3
3.4 The Chain Rule
Practice09

10/8
3.7 Elasticity of Demand. Practice10. Practice10 cosnists of three type of problems.
Elasticity of Demand: Step by step solutions to HW questions Here. Elasticity PPT as pdf.
E(p): Elasticity formula:

Note: images created online at codecogs/editor/latex/eqneditor.php

10/10
Review 3. Elasticity of Demand, formula and notes.

10/15
Test 3

10/17

4.1 First Derivative and Graphs; 4.2 Second Derivative and Graphs.
Practice 11 Answers to questions not discussed in class 10/17 here.

10/22
4.4 Curve Sketching. Practice 12

10/24
4.5 Absolute Maxima and Minima. Practice 13

10/29

4.6 Optimization. Practice 14

10/31
Review 04 (free response type of Qn); Review04m (mult choice Qns).

11/05
Test 4

11/07
5.1 Antiderivatives and Indefinite Integrals. Practice 15

11/12
5.2 Integration by Substitution. Practice 16

11/14
5.3 Differential Equations: Growth & Decay. Practice 17

11/19
5.4 The Definite Integral. Practice 18

11/21
5.5 The Fundamental Theorem of Calculus
6.1 Areas between Curves 6.2 Applications in Business and Economics.
Lorenz curve & Gini index
Gini Income distribution
Continuous income stream
Practice 19

11/26

Final Exam Review Session 1

12/3
Final Exam Review Session 2

12/10
Final Exam

Syllabus_MAC2233: TR, 5:00pm-06:15 pm
Bldg 70, Room 107, South Campus

Office Hours: Building 69, room 237
2:00 pm - 2:30 pm Thurs.

MyMathLab Homework:
Student_Registration_Handout

PPTs from dropbox, zip folder

Millersville University:final-review sheets & solutions for Basic Algebra, Trigonometry, Calculus 1, 2 & 3 .

JUST THE MATHS: From Algebra to differential equations: Teaching Units.Table of content. By A. J. Hobson.

MATHISPOWER4U tutorials: Algebra, Calculus I, II, III, differentail eq, set theory, logic, etc.

Professor Bartlett:
Arithmetic, Population and Energy

"The greatest shortcoming of the human race is our inability to understand the exponential function."

Grove City College Business Calc webpage (Grove City, Pennsylvania): online book, examples, videos, etc.

List of derivatives rules (except for trig functions, we study all others in Business Calc).
From UCDavis.

(...) marginal analysis focuses on examining the results of small changes as the effects cascade across the business as a whole. Marginal analysis is an examination of the associated costs and potential benefits of specific business activities or financial decisions.
Source: Investopedia.

Marginal Analysis Notes