{
    "quiz": {
        "name": "28_2 Differential Vector Calculus",
        "intro": "A vector field or a scalar field can be differentiated with respect to position in three ways to produce\r\nanother vector field or scalar field. This Section studies the three derivatives, that is: (i) the gradient\r\nof a scalar field (ii) the divergence of a vector field and (iii) the curl of a vector field.",
        "introformat": "1",
        "questionsperpage": "1",
        "grade": "10.00000",
        "navmethod": "free"
    },
    "sections": [
        {
            "firstslot": "1",
            "heading": "The gradient of a scalar field",
            "shufflequestions": 0
        },
        {
            "firstslot": "3",
            "heading": "Exercises",
            "shufflequestions": 0
        },
        {
            "firstslot": "8",
            "heading": "The divergence of a vector field",
            "shufflequestions": 0
        },
        {
            "firstslot": "12",
            "heading": "The curl of a vector field",
            "shufflequestions": 0
        },
        {
            "firstslot": "14",
            "heading": "Exercises",
            "shufflequestions": 0
        },
        {
            "firstslot": "18",
            "heading": "The Laplacian",
            "shufflequestions": 0
        },
        {
            "firstslot": "23",
            "heading": "Exercises",
            "shufflequestions": 0
        },
        {
            "firstslot": "20",
            "heading": "Identities involving grad, div and curl",
            "shufflequestions": 0
        }
    ],
    "questions": [
        {
            "slot": "1",
            "page": "1",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-1-1-The-gradient-of-a-scalar-field.xml"
        },
        {
            "slot": "8",
            "page": "3",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-2-8-The-divergence-of-a-vector-field.xml"
        },
        {
            "slot": "12",
            "page": "4",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-3-12-Curl-of-a-vector-field.xml"
        },
        {
            "slot": "18",
            "page": "6",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-4-18-The-Laplacian.xml"
        },
        {
            "slot": "19",
            "page": "6",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-5-19-Examples-involving-grad,-div,-curl-and-the-Laplacian.xml"
        },
        {
            "slot": "20",
            "page": "7",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-6-20-Identities-involving-grad,-div-and-curl.xml"
        },
        {
            "slot": "23",
            "page": "8",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-6-23-scalar-vector-or-undefined-quantity-exercise.xml"
        },
        {
            "slot": "2",
            "page": "1",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-1-2-Basic-grad-question.xml"
        },
        {
            "slot": "3",
            "page": "2",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-1-3-Exercise-on-grad-of-scalar-fields.xml"
        },
        {
            "slot": "4",
            "page": "2",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-1-4-grad-of-2-d-scalar-field.xml"
        },
        {
            "slot": "5",
            "page": "2",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-1-5-grad-normal-and-rate-of-change-question.xml"
        },
        {
            "slot": "6",
            "page": "2",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-1-6-unit-vector-normal-to-sphere.xml"
        },
        {
            "slot": "7",
            "page": "2",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-1-7-Angle-between-curves-by-normal-vector.xml"
        },
        {
            "slot": "10",
            "page": "3",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-2-10-second-vector-field-divergence-question.xml"
        },
        {
            "slot": "11",
            "page": "3",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-2-11-Third-vector-field-divergence-question.xml"
        },
        {
            "slot": "9",
            "page": "3",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-2-9-divergence-of-vector-field.xml"
        },
        {
            "slot": "13",
            "page": "4",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-3-13-curl-of-2-d-vector-field.xml"
        },
        {
            "slot": "14",
            "page": "5",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-3-14-exercise-on-2-d-vector-field-curl.xml"
        },
        {
            "slot": "15",
            "page": "5",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-3-15-Curl-of-3-d-vector-fields.xml"
        },
        {
            "slot": "16",
            "page": "5",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-3-16-Velocity-and-curl-of-a-river.xml"
        },
        {
            "slot": "17",
            "page": "5",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-3-17-curl-of-emptying-bathroom-sink.xml"
        },
        {
            "slot": "21",
            "page": "7",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-6-21-task-on-various-vector-field-calculations.xml"
        },
        {
            "slot": "22",
            "page": "7",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-28-2\/28-2-6-22-scalar-field-calculation-task.xml"
        }
    ],
    "feedback": [
        {
            "feedbacktext": "",
            "feedbacktextformat": "1",
            "mingrade": "0.00000",
            "maxgrade": "11.00000"
        }
    ]
}