MATH 140 Lecture 1: Precalc and Limits

• School: University of Maryland
• Department: Mathematics
• Course: MATH 140
• Professor: Denny Gulick

Document Summary

Math 140 lecture 1 precalculus review and limits. 2 a: the quadratic formula is derived from the general formula, which is: a x2+bx+c=0,a 0. Important functions and their graphs: polynomial, ex: x2+2x +1, graph, euler"s number e to a power, ex: ex, graph, natural log, ex: lnx, graph: Logarithm: ex: loga x, graph, trigonometric functions, ex: sin x , cos x , etc, graphs, absolute value, ex: x , graph, note: when graphing, be sure to label the axes correctly. Example problems: ex 1: log2 3+log2 x=5, x=? o, using the product rule: log2(3x)=5, getting rid of the log using its base: 2log2(3x)=25 3x=32, final answer: x= 32. ;t is quadrant ii ;tan t=: using the definition of cosine: cost= adjacent side hypotenuse. 4: pythagorean theorem: a2+b2=c2 b= c2 a2= 42 32= 16 9= 7, final answer: tan t= opposite side adjacent side.