MAT 101 Mathematics I Lecture Notes PDF
Document Details
East Port Said National University
Dr. Islam Shaalan
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Summary
These lecture notes cover various topics in Pre-Calculus mathematics, including sets, functions, limits, and continuity.
Full Transcript
MAT 101 Mathematics I Chapter 1: Pre-Calculus Review Math I Dr. Islam Shaalan 1 Chapter 1: Pre-Calculus Review Sets Functions Limits...
MAT 101 Mathematics I Chapter 1: Pre-Calculus Review Math I Dr. Islam Shaalan 1 Chapter 1: Pre-Calculus Review Sets Functions Limits Continuity Math I Dr. Islam Shaalan 2 = → ( ) Math I Dr. Islam Shaalan 3 Math I Dr. Islam Shaalan 4 Math I Dr. Islam Shaalan 5 = → ≠ =− →.. ( ) → Math I Dr. Islam Shaalan 6 lim =− → ≠ lim =+ →.. → : − = Math I Dr. Islam Shaalan 7 → → = = → →.. → Math I Dr. Islam Shaalan = , > = − =− → =− , < ≠ =+ →.. → Math I Dr. Islam Shaalan 9 − =− − = , > → = − ≠ − −( − ) =+ =− , < → − −.. → − Math I Dr. Islam Shaalan 10 = ( + )= + → → = = ( − )= − → → − + = − = Math I Dr. Islam Shaalan 11 =− =− = =− = =− Math I Dr. Islam Shaalan 12 =∞ ≠ = −∞.... → − Math I Dr. Islam Shaalan 13 =.. Math I Dr. Islam Shaalan 14 =∞ =−∞ = → → → =∞ =+∞ = → → → Math I Dr. Islam Shaalan 15 = =∞ = = (− ) = − ( )= Math I Dr. Islam Shaalan 16 − + = → − ( − )( − ) ( − ) − = = =− → ( − )( + ) ( + ) Math I Dr. Islam Shaalan 17 − ( + ) + = → + − = − +( + ) → = = → Math I Dr. Islam Shaalan 18 + − − = → ( + − − ) ( + + − ) + − −. = = → ( + + − ) → ( + + − ) = = → ( ) → ( ) → ( ) = = = = → ( + + − ) → ( + + − ) Math I Dr. Islam Shaalan 19 Try to solve, use your pen now Math I Dr. Islam Shaalan 20 Math I Dr. Islam Shaalan 21 sin (i) = ( − )= − = → → (ii) = = → → (iii) → = = = → → Math I Dr. Islam Shaalan 22 Sheet Math I Dr. Islam Shaalan 23 Math I Dr. Islam Shaalan 24 Math I Dr. Islam Shaalan 25 Math I Dr. Islam Shaalan 26 Thanks Math I Dr. Islam Shaalan 27
