1. Fozia Tauqeer Assistant Professor Computer science Department

2. Marks distribution as; Quizzes10 Assignments/Projects20 Mid-Term Examination20 Final Examination50 Total100

3. 1. Calculus by Thomas Finney 8 th Edition 2. Calculus An applied Approach by Ron Larson Eighth Edition 3. Instructor’s Lectures

4. The objective of this course as; 1. To understand the basic concept of real number and number system. 2. To know about the inequalities and their solutions. 3. To understand the concept of function its types, domain and range. 4. Circle equation, parabola, distance formula and their application. 5. Derivatives for different functions. 6. Understand the Basic Techniques of integration. 7. Concept of Complex number.

5. Week # and Date Lecture/Hour # Topic to be covered 11Introduction 2 Number system, real numbers, solution of inequalities, Linear and Quadratic 3 Absolute value, properties and solution of absolute values 21Exponent and radicals 2Function, domain and range 3Graphs of functions 31Transformation of functions 2Inverse function 3composite function and logarithmic function 4 1Application of different functions 2Quiz # 1 3Equation of circle and its sketch

6. Lecture plan 5 th week1Sketch of parabola 2Distance formula and its application 3Application of graphs for circle and parabola 6 th week1Analytical trigonometry 2Graphs of trigonometry 3Fundamental relations 7 th week1 Limit of a function 2Application of limit 3Continuity of function 8 th week1Application of continuity 2Quiz#2 3Revision 9 th week MID TERM EXAM

7. Lecture plan: 10 th week1Derivatives, basic formulas 2Derivatives and slope of graph 3Differentiability and continuity 111Product rule 2Chain rule 3Equation of tangent line 121Implicit differentiation 2Rate of change, velocity and Marginal 3Quiz#3 131Derivatives of trigonometric function 2Derivatives of exponential function 3L. Hopital rule 141Techniques of integration 2Basic rules of integration 3Quiz#4

8. Lecture plan: 15 th week1Integration by parts 2Application of by part integration 3Introduction to complex number 161Properties, application 2Demoivre’s theorem 3Application of Demoivre’s theorem 171Presentation by students 2Presentation 3Revision and Guest lecture 18 Final Exam

9. Objectives: 1. Represent, classify and order real numbers 2. Use in equalities to represent sets of real numbers 3. Solve in equalities 4. Use inequalities to model and solve real life problems

10. 1. Positive direction 2. Coordinate of point 3. Origin 4. Negative direction 5. Non-negative 6. One to one correspondence 7. Rational numbers 8. Irrational numbers

11. 1. Open interval 2. Interval that neither open nor closed 3. Infinite intervals 4. Closed intervals

15. Use to describe conditions occur in business and science: 1. Production level 2. Physiology 3. Profit 4. Annual operating cost

16. In addition to fixed overhead costs of $500 per day, cost of producing x units of an item is $2.50 per unit. During the month of August, the total cost of production varied from high of $1325 to low of $1200 per day, Find the high and low production levels during the month ?

17. Objectives: 1. Find absolute value on real numbers 2. Properties 3. Distance between two real numbers 4. Intervals on real numbers 5. Midpoint of an interval 6. Using interval to model and solve real life problems

22. 1. Quality control 2. Chemistry 3. Stock price 4. Heights of population 5. Biology 6. Production 7. manufacturing