Math 34A
Calculus for the Social and Life Sciences I
Text | Introduction to graphs and functions |
Text | Examples of sketching graphs |
Text | General overview of graphing |
Text | Introduction to the Cartesian plane |
Interactive | Interactive modules on various graphs/charts |
Video - 2:20 | Interpreting Line Graphs |
Video - 4:33 | Single variable word problem |
Video - 8:02 | Single variable word problem |
Video - 4:08 | Introduction to speed = distance/time |
Video - 2:01 | Single variable word problem |
Video - 6:18 | Word problem involving percentages |
Video - 8:36 | Example of getting a line equation from a pattern |
Video - 2:42 | Example of a line equation from a word problem |
Video - 10:20 | Example of a mixing problem |
Video - 5:17 | Example of a car problem |
Interactive | Six examples on express-in-terms-of problems |
Interactive | Example of a car problem |
Text | Lots of word problems with geometry |
Video - 11:32 | Non-rigorous intro to limits |
Video - 8:57 | Non-rigorous limit examples | Continues in next video |
Interactive | Limit exercises |
Text Catalog | List of lectures on limits |
Text Catalog | Introduction to limits |
Text | Explanation of Sigma notation and (finite) summations |
Text | Introduction to Sigma notation and summation formulas |
Video - 14:58 | Lots of examples on finding slope-intercept form of a line |
Video - 9:38 | Lots of examples on finding point-slope form of a line |
Video - 6:42 | Graphing a line using slope-intercept |
Interactive | Line exercises |
Text | Summary on equations of lines, parallel/perpendicular lines |
Text | Line equations |
Video - 1:44 | "Directly Proportional" example |
Video - 4:42 | "Indirectly Proportional" example |
Interactive | Proportionality exercises |
Text | Introduction to proportions |
Video Catalog | List of videos on logarithms |
Interactive | Logarithm exercises |
Interactive | Logarithm properties exercises | See videos in lower-right for help |
Text | Introduction to logarithms | See following pages for solving equations with logs |
Text | Introduction to logarithms |
Text | Log rules and examples |
Text | From Cooper's book |
Text | From Cooper's book |
Text | Elementary explanation of logarithms |
Video - 9:19 | Half-life examples |
Video - 7:41 | Intro to Exponential Growth |
Video - 7:21 | Exponential word problems |
Video - 6:56 | Intro to compound interest (compounding annually) |
Video - 11:16 | An example on compound interest (using log) | Part 1 of 2 |
Text | Solving equations using logarithms |
Text | Solving equations using logarithms |
Interactive | Calculates compound interest |
Video - 3:17 | Finding average rate of change from a graph |
Video - 4:37 | Finding average rate of change given a function |
Video - 3:23 | A word problem on average rate of change |
Text | Derivative, tangent line, and rate of change |
Interactive | Average rate of change examples |
Video - 15:43 | Derivative intuition |
Interactive | Applet demonstrating the instantaneous rate of change as the limit of average rates of change |
Video - 3:54 | Power rule and some basic differentiation rules |
Video - 8:46 | Power rule and some basic differentiation rules |
Interactive | Power rule practice |
Text | Power rule and some basic differentiation rules |
Interactive | Do-it-all mathematics tool | Type "Derivative of __________" |
Interactive | Interactive derivative plotter for power rule | Try examples 6 and 7 |
Interactive | Interactive derivative plotter for exponential rule | Try using k = e = 2.718 |
Text | Tangent line approximation with an example |
Video - 4:34 | An example on tangent line approximation |
Video - 8:20 | Example of tangent line approximation |
Interactive | Interactive tangent line approximation |
Video - 6:18 | Finding max/min using first derivative |
Video - 5:05 | Maximizing/Minimizing word problem | 34A students may ignore second derivative test |
Text | Finding max/min of a function | See next two pages for more examples |
Text | Max/min word problems | Some examples refer to the second derivative test |
Text | More max/min word problems |
Interactive | Do-it-all mathematics tool | Example input: "maximize f(x) = x^2 on [0,2]" |
Interactive | Maximization word problem visualization |
Text | Examples of finding max/min | Last method is second derivative test |
Text | Finding critical points + examples | Uses some derivative rules that are not covered in 34A |
Video - 10:02 | Second derivative and concavity | You do not need to know the second example |
Video - 11:00 | Finding intervals of increasing/decreasing and concave up/concave down |
Text | Using the second derivative test to find extrema |
Text | Examples of finding max/min | Last method is second derivative test |
Video - 4:43 | How to calculate your grade |
Video - 10:03 | High school student calculus project |
Text | Examples of how 34A level math comes up in daily life |