NEW YORK CITY COLLEGE OF TECHNOLOGY The City University of New York

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1 NEW YORK CITY COLLEGE OF TECHNOLOGY The City University of New York DEPARTMENT: Mathematics COURSE: MAT 1315 TITLE: DESCRIPTION: TEXT: Technical Mathematics with Applications II The second of a two-semester sequence of intermediate algebra and trigonometry with applications. Topics include law of sines, law of cosines, logarithmic and exponential equations, absolute values and inequalities, advanced trigonometric graphs, exponents and radicals, introduction to statistics and graphical analysis. This course is open to students in the Verizon program only Basic Technical Mathematics 9 th edition Allyn J.Washington CREDITS: 4 PREREQUISITES: MAT 1215/MA 215 Prepared by: Prof. J. Liou-Mark A. Testing Guidelines: The following exams should be scheduled: 1. A one-hour exam at the end of the First Quarter. 2. A one session exam at the end of the Second Quarter. 3. A one-hour exam at the end of the Third Quarter. 4. A one session Final Examination. B. **Insert Technology**

2 Learning Outcomes for MAT 1315/ MA Students will be able to: 4.

3 Mathematics Department Policy on Lateness/Absence A student may be absent during the semester without penalty for 10% of the class instructional sessions. Therefore, If the class meets: The allowable absence is: 1 time per week 2 absences per semester 2 times per week 3 absences per semester Students who have been excessively absent and failed the course at the end of the semester will receive either the WU grade if they have attended the course at least once. This includes students who stop attending without officially withdrawing from the course. the WN grade if they have never attended the course. In credit bearing courses, the WU and WN grades count as an F in the computation of the GPA. While WU and WN grades in non-credit developmental courses do not count in the GPA, the WU grade does count toward the limit of 2 attempts for a developmental course. The official Mathematics Department policy is that two latenesses (this includes arriving late or leaving early) is equivalent to one absence. Every withdrawal (official or unofficial) can affect a student s financial aid status, because withdrawal from a course will change the number of credits or equated credits that are counted toward financial aid. New York City College of Technology Policy on Academic Integrity Students and all others who work with information, ideas, texts, images, music, inventions, and other intellectual property owe their audience and sources accuracy and honesty in using, crediting, and citing sources. As a community of intellectual and professional workers, the College recognizes its responsibility for providing instruction in information literacy and academic integrity, offering models of good practice, and responding vigilantly and appropriately to infractions of academic integrity. Accordingly, academic dishonesty is prohibited in The City University of New York and at New York City College of Technology and is punishable by penalties, including failing grades, suspension, and expulsion. The complete text of the College policy on Academic Integrity may be found in the catalog.

4 MAT 1315 Technical Mathematics with Applications II Text: Basic Technical Mathematics, 9 th edition, by Allyn J. Washington Session Topics Homework I II III IV GRAPHS OF TRIGONOMETRIC FUNCTIONS Review of Graphs of y = a Sin bx and y = a Cos bx (Section 10.2) Graphs of y = a Sin (bx +c) and y = a Cos (bx +c) (Section 10.3) PROPERTIES OF INEQUALITIES Properties of Inequalities (Section 17.1) Solving Linear Inequalities (Section 17.2) EXPONENTS AND RADICALS Simplifying Expressions With Integral Exponents (Section 11.1) Fractional Exponents (Section 11.2) Simplest Radical Form (Section 11.3) Addition and Subtraction of Radicals (Section 11.4) Multiplication and Division of Radicals (Section 11.5) STATISTICS Frequency Distributions (Section 22.1) Measures of Central Tendency (Section 22.2) Standard Deviation (Section 22.3) Normal Distributions (Section 22.4) Statistical Process Control (Section 22.5) Linear Regression (Section 22.6, Pages ) Test I (Chapter 10, 11, 17) V Page 294/ 3 37 odd Page 298/ 3 25 odd Page 464/25 43 odd Page 469/ 5 35 odd Page 316/ 5 35 odd Page 324/ 5 43 odd Page 330/ 5-53 odd Page 326/ 3 33 odd Page 329/ 5 37 odd Page 616/ 5-30, odd Page 620/ 5 39, odd Page 625/ 3 20, odd Page 630/ 9 27 odd Page 635/ 5 12 odd Page 640/ 2 11 odd EXPONENTIAL AND LOGARITHMIC FUNCTIONS Exponential Functions (Section 13.1) Logarithmic Functions (Section 13.2) Page 364/ 3 7, 13 19, 25, 27, 29 Page 368/ 5-13, 17 39, odd,57 60 Properties of Logarithms (Section 13.3) Logarithms to the Base 10 (Section 13.4) Natural Logarithms (Section 13.5) 8 Exponential and Logarithmic Equations (Section 13.6) Graphs on Logarithmic and Semi logarithmic Paper (Section 13.7) Page 373/ 9-51, odd, Page 376/ 3 39, odd Page 379/ 3 51, odd Page 382/ 3-51, odd Page 386/ 3 29, odd

5 9 Test II (Chapter 22) VI RATIO AND PROPORTION Ratio and Proportion (Section 18.1) Variation (Section 18.2) Page 493/ 3 41, odd Page 498/ 5 35, odd 10 VII OBLIQUE TRIANGLES Law of Sines (Section 9.5) Law of Cosines (Section 9.6) Page 278/ 3-31, odd Page 283/ 3 31, odd 11 VIII COMPLEX NUMBERS Basic Definitions (Section 12.1) Basic Operations (Section 12.2) Polar Form of a Complex Number (Section 12.4) Page 336/ 5 51, odd Page 339/ 5 47, odd Page 344/ 3 39, odd Exponential Form of a Complex Number(Section 12.5) Products, Quotients, Powers and Roots of Complex Numbers(Section 12.6) An Application to Alternating Current (AC) Circuits (Section 12.7) Test III (Chapter 9, 13, and 18) IX INTUITIVE APPROACH TO CALCULUS Limits, Average value of a Function Instantaneous Rate of Change Area under a Curve Root Mean Square of a Function Page 346/ 5 39, odd Page 352/ 5-47, odd Page 358/ Final

6 MAT 1315 Technical Mathematics with Applications II Text: Basic Technical Mathematics, 9 th edition, by Allyn J. Washington I II III IV V VI Topics GRAPHS OF TRIGONOMETRIC FUNCTIONS Review of Graphs of y = a Sin bx and y = a Cos bx (Section 10.2) Graphs of y = a Sin (bx +c) and y = a Cos (bx +c) (Section 10.3) PROPERTIES OF INEQUALITIES Properties of Inequalities (Section 17.1) Solving Linear Inequalities (Section 17.2) EXPONENTS AND RADICALS Simplifying Expressions With Integral Exponents (Section 11.1) Fractional Exponents (Section 11.2) Simplest Radical Form (Section 11.3) Addition and Subtraction of Radicals (Section 11.4) Multiplication and Division of Radicals (Section 11.5) STATISTICS Frequency Distributions (Section 22.1) Measures of Central Tendency (Section 22.2) Standard Deviation (Section 22.3) Normal Distributions (Section 22.4) Statistical Process Control (Section 22.5) Linear Regression (Section 22.6, Pages ) EXPONENTIAL AND LOGARITHMIC FUNCTIONS Exponential Functions (Section 13.1) Logarithmic Functions (Section 13.2) Properties of Logarithms (Section 13.3) Logarithms to the Base 10 (Section 13.4) Natural Logarithms (Section 13.5) Exponential and Logarithmic Equations (Section 13.6) Graphs on Logarithmic and Semi logarithmic Paper (Section 13.7) RATIO AND PROPORTION Ratio and Proportion (Section 18.1) Homework Page 294/ 3 37 odd Page 298/ 3 25 odd Page 464/25 43 odd Page 469/ 5 35 odd Page 316/ 5 35 odd Page 324/ 5 43 odd Page 330/ 5-53 odd Page 326/ 3 33 odd Page 329/ 5 37 odd Page 616/ 5-30, odd Page 620/ 5 39, odd Page 625/ 3 20, odd Page 630/ 9 27 odd Page 635/ 5 12 odd Page 640/ 2 11 odd Page 364/ 3 7, 13 19, 25, 27, 29 Page 368/ 5-13, 17 39, odd,57 60 Page 373/ 9-51, odd, Page 376/ 3 39, odd Page 379/ 3 51, odd Page 382/ 3-51, odd Page 386/ 3 29, odd Page 493/ 3 41, odd Page 498/ 5 35, odd

7 Variation (Section 18.2) MAT 1315 Technical Mathematics with Applications II Text: Basic Technical Mathematics, 9 th edition, by Allyn J. Washington VII VIII IX OBLIQUE TRIANGLES Law of Sines (Section 9.5) Law of Cosines (Section 9.6) COMPLEX NUMBERS Basic Definitions (Section 12.1) Basic Operations (Section 12.2) Polar Form of a Complex Number (Section 12.4) Exponential Form of a Complex Number(Section 12.5) Products, Quotients, Powers and Roots of Complex Numbers(Section 12.6) An Application to Alternating Current (AC) Circuits (Section 12.7) INTUITIVE APPROACH TO CALCULUS Limits, Average value of a Function Instantaneous Rate of Change Area under a Curve Root Mean Square of a Function Page 278/ 3-31, odd Page 283/ 3 31, odd Page 336/ 5 51, odd Page 339/ 5 47, odd Page 344/ 3 39, odd Page 346/ 5 39, odd Page 352/ 5-47, odd Page 358/ 3 23

Math 098 Intermediate Algebra Spring 2018

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