SURVEY QUESTIONAIRE Research- Made Questionnaire on Analysis on Learning Difficulties in Calculus I (Differential Calculus) encountered by the students of the Biliran Province State University - College of Engineering Respondents Details: Name: (optional) Age: Address: ________________________________ Gender: High Average (5) I. Course: Below Average (4) SHS strand: __________________ Average (3) Poor (2) Very Poor (1) Basic Knowledge in Algebraic Manipulation A. Know how to solve basic mathematical problem such as: 5 4 3 2 1 5 4 3 2 1 5 4 3 2 1 5 4 3 2 1 Real Numbers Algebra Essentials Exponents Radicals and Rational Expressions Solving and factoring Polynomials B. Have a basic knowledge in solving algebraic equations such as Rectangular Coordinate System and Graphs Linear Equation in one variable Models and Applications Complex Numbers Quadratic Equation Linear Inequalities Absolute value inequalities C. Basic knowledge in algebraic methods of solving functions Linear Functions Polynomial Functions Rational and Irrational Functions Exponential and Logarithmic Functions System of Equation and Inequalities D. Knowledge in Analytic Geometry which includes: Plane Figures Ellipse Parabola and Hyperbola Rotation of Axes Conic Section in Polar Coordinates II. Basic Knowledge in Trigonometric Identities A. Knowledge in manipulating trigonometric problems such as: 5 4 3 2 1 5 4 3 2 1 5 4 3 2 1 5 4 3 2 1 5 4 3 2 1 5 4 3 2 1 Trigonometric Ratios Modelling Right Triangle Sine and Cosine of Trigonometric Angle Ratios of Special triangles Pythagorean Theorem B. Ability to understand the law of General Triangles Law of Sine Law of Cosine C. Able to defines and understand : Unit Circle of Sine, Cosine and Tangent Graphs of Sine, Cosine and Tangent Basics of trigonometric identities Graphs of Trigonometric functions using Cartesian Coordinate System Methods of solving Trigonometric equations III. Introduction to Calculus; Learning Functions, Limits and Continuity C. Able to defines and understand : Be able to understand the meaning and basic of Functions Be able to understand the meaning and basic of Limits Be able to understand the meaning and basic of Continuity Evaluation of Functions and its Graphical presentation Knowledge in the theorems of Limits Knowledge in Right and Left hand Limit Knowledge in Finite and Infinite Continuities IV. Student knowledge on Learning of Derivatives A. Knowledge in Solving: Simple Derivative Problems related to Slope of a curve Rate of Change B. Ability to solve Algebraic Function using Lower Derivative Algebraic Function using Higher Derivative Algebraic Function using Chain Rule Algebraic Function in Implicit Form C. Solving and Graphing 5 4 3 2 1 5 4 3 2 1 Polynomial Curve in Increasing Form Polynomial Curve in Decreasing Form Maxima Minima Concavity Point of Inflection Sketch of the Graph D. Application of Knowledge Learning using Maxima and Minima Auxiliary Variable Time rate Discontinuous Derivatives Other Related Questions: 1. How do you find the course Differential Calculus? 2. Do you have any factors experienced which makes u find difficult in learning Differential calculus? 3. If yes, what are they? Comment Section: _____________________________________________________________________